Rivière, Gabriel Local \(L^p\) norms of Schrödinger eigenfunctions on \({\mathbb{S}}^2\). (English. French summary) Zbl 07495619 Ann. Math. Qué. 46, No. 1, 93-119 (2022). Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk) MSC: 58J50 58J40 35P05 58C40 PDF BibTeX XML Cite \textit{G. Rivière}, Ann. Math. Qué. 46, No. 1, 93--119 (2022; Zbl 07495619) Full Text: DOI OpenURL
Anikin, A. Yu.; Rykhlov, V. V. Constructive semiclassical asymptotics of bound states of graphene in a constant magnetic field with small mass. (English. Russian original) Zbl 07488493 Math. Notes 111, No. 2, 173-192 (2022); translation from Mat. Zametki 111, No. 2, 163-187 (2022). MSC: 81Q20 81U40 78A30 82D80 81Q10 35B34 82C70 35P20 33C10 PDF BibTeX XML Cite \textit{A. Yu. Anikin} and \textit{V. V. Rykhlov}, Math. Notes 111, No. 2, 173--192 (2022; Zbl 07488493); translation from Mat. Zametki 111, No. 2, 163--187 (2022) Full Text: DOI OpenURL
Aguas-Barreno, Ariel; Cevallos-Chávez, Jordy; Mayorga-Zambrano, Juan; Medina-Espinosa, Leonardo Semiclassical asymptotics of infinitely many solutions for the infinite case of a nonlinear Schrödinger equation with critical frequency. (English) Zbl 07481766 Bull. Korean Math. Soc. 59, No. 1, 241-263 (2022). MSC: 35Q55 35Q41 35Q40 35B40 35J25 35A01 81Q20 PDF BibTeX XML Cite \textit{A. Aguas-Barreno} et al., Bull. Korean Math. Soc. 59, No. 1, 241--263 (2022; Zbl 07481766) Full Text: DOI OpenURL
Siniukov, S. A.; Trifonov, A. Yu.; Shapovalov, A. V. Examples of asymptotic solutions obtained by the complex germ method for the one-dimensional nonlocal Fisher-Kolmogorov-Petrovsky-Piskunov equation. (English. Russian original) Zbl 07514179 Russ. Phys. J. 64, No. 8, 1542-1552 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 64, No. 8, 148-156 (2021). MSC: 81-XX PDF BibTeX XML Cite \textit{S. A. Siniukov} et al., Russ. Phys. J. 64, No. 8, 1542--1552 (2021; Zbl 07514179); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 64, No. 8, 148--156 (2021) Full Text: DOI OpenURL
Dobrokhotov, Sergey Yu.; Nazaikinskii, Vladimir E.; Shafarevich, Andrei I. Efficient asymptotics of solutions to the Cauchy problem with localized initial data for linear systems of differential and pseudodifferential equations. (English. Russian original) Zbl 07505219 Russ. Math. Surv. 76, No. 5, 745-819 (2021); translation from Usp. Mat. Nauk 76, No. 5, 3-80 (2021). MSC: 81Q20 35L15 35L45 35S10 53D12 PDF BibTeX XML Cite \textit{S. Yu. Dobrokhotov} et al., Russ. Math. Surv. 76, No. 5, 745--819 (2021; Zbl 07505219); translation from Usp. Mat. Nauk 76, No. 5, 3--80 (2021) Full Text: DOI OpenURL
Guillemin, Victor; Wang, Zuo Qin Bohr-Sommerfeld levels for quantum completely integrable systems. (English) Zbl 1483.81070 Acta Math. Sin., Engl. Ser. 37, No. 11, 1743-1750 (2021). MSC: 81Q20 58C40 37J35 81Q80 81V45 PDF BibTeX XML Cite \textit{V. Guillemin} and \textit{Z. Q. Wang}, Acta Math. Sin., Engl. Ser. 37, No. 11, 1743--1750 (2021; Zbl 1483.81070) Full Text: DOI OpenURL
Frank, Rupert L.; Larson, Simon Semiclassical asymptotics for a class of singular Schrödinger operators. (English) Zbl 1479.35585 Exner, Pavel (ed.) et al., Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 155-176 (2021). MSC: 35P20 35J10 PDF BibTeX XML Cite \textit{R. L. Frank} and \textit{S. Larson}, in: Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). 155--176 (2021; Zbl 1479.35585) Full Text: DOI arXiv OpenURL
Zanelli, L.; Mandreoli, F.; Cardin, F. A weak KAM approach to the periodic stationary Hartree equation. (English) Zbl 1476.35094 NoDEA, Nonlinear Differ. Equ. Appl. 28, No. 6, Paper No. 56, 18 p. (2021). MSC: 35F21 37K55 81V70 PDF BibTeX XML Cite \textit{L. Zanelli} et al., NoDEA, Nonlinear Differ. Equ. Appl. 28, No. 6, Paper No. 56, 18 p. (2021; Zbl 1476.35094) Full Text: DOI OpenURL
Dobrokhotov, S. Yu.; Minenkov, D. S.; Nazaikinskii, V. E. Representation of Bessel functions by the Maslov canonical operator. (English. Russian original) Zbl 1471.81033 Theor. Math. Phys. 208, No. 2, 1018-1037 (2021); translation from Teor. Mat. Fiz. 208, No. 2, 196-217 (2021). MSC: 81Q20 81S08 33C10 35B40 PDF BibTeX XML Cite \textit{S. Yu. Dobrokhotov} et al., Theor. Math. Phys. 208, No. 2, 1018--1037 (2021; Zbl 1471.81033); translation from Teor. Mat. Fiz. 208, No. 2, 196--217 (2021) Full Text: DOI OpenURL
Fedotov, Alexander; Klopp, Frédéric WKB asymptotics of meromorphic solutions to difference equations. (English) Zbl 1476.39023 Appl. Anal. 100, No. 7, 1557-1573 (2021). MSC: 39A45 39A12 34M60 81Q20 PDF BibTeX XML Cite \textit{A. Fedotov} and \textit{F. Klopp}, Appl. Anal. 100, No. 7, 1557--1573 (2021; Zbl 1476.39023) Full Text: DOI arXiv OpenURL
Dobrokhotov, Sergei; Nazaikinskii, Vladimir Fock quantization of canonical transformations and semiclassical asymptotics for degenerate problems. (English) Zbl 1472.81099 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 – July 6, 2019. Cham: Birkhäuser. Trends Math., 187-195 (2020). MSC: 81Q20 35L80 81S10 53D12 53D22 PDF BibTeX XML Cite \textit{S. Dobrokhotov} and \textit{V. Nazaikinskii}, in: Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 -- July 6, 2019. Cham: Birkhäuser. 187--195 (2020; Zbl 1472.81099) Full Text: DOI OpenURL
Dauge, Monique; Miqueu, Jean-Philippe; Raymond, Nicolas On the semiclassical Laplacian with magnetic field having self-intersecting zero set. (English) Zbl 1470.35245 J. Spectr. Theory 10, No. 4, 1211-1252 (2020). MSC: 35P20 35J25 35Q40 65M60 PDF BibTeX XML Cite \textit{M. Dauge} et al., J. Spectr. Theory 10, No. 4, 1211--1252 (2020; Zbl 1470.35245) Full Text: DOI arXiv OpenURL
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Tsvetkova, A. V. Airy functions and transition between semiclassical and harmonic oscillator approximations for one-dimensional bound states. (English. Russian original) Zbl 1453.81024 Theor. Math. Phys. 204, No. 2, 984-992 (2020); translation from Teor. Mat. Fiz. 204, No. 2, 171-180 (2020). MSC: 81Q10 81Q20 35P05 35B40 33C10 PDF BibTeX XML Cite \textit{A. Yu. Anikin} et al., Theor. Math. Phys. 204, No. 2, 984--992 (2020; Zbl 1453.81024); translation from Teor. Mat. Fiz. 204, No. 2, 171--180 (2020) Full Text: DOI OpenURL
Shafarevich, A. I.; Shchegortsova, O. A. Semiclassical asymptotics of the solution to the Cauchy problem for the Schrödinger equation with a delta potential localized on a codimension 1 surface. (English. Russian original) Zbl 1455.35213 Proc. Steklov Inst. Math. 310, 304-313 (2020); translation from Tr. Mat. Inst. Steklova 310, 322-331 (2020). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q41 81Q05 81Q10 81Q20 53D12 35B40 PDF BibTeX XML Cite \textit{A. I. Shafarevich} and \textit{O. A. Shchegortsova}, Proc. Steklov Inst. Math. 310, 304--313 (2020; Zbl 1455.35213); translation from Tr. Mat. Inst. Steklova 310, 322--331 (2020) Full Text: DOI OpenURL
Dobrokhotov, S. Yu.; Nazaikinskii, V. E. Lagrangian manifolds and efficient short-wave asymptotics in a neighborhood of a caustic cusp. (English. Russian original) Zbl 1483.53094 Math. Notes 108, No. 3, 318-338 (2020); translation from Mat. Zametki 108, No. 3, 334-359 (2020). MSC: 53D12 41A60 PDF BibTeX XML Cite \textit{S. Yu. Dobrokhotov} and \textit{V. E. Nazaikinskii}, Math. Notes 108, No. 3, 318--338 (2020; Zbl 1483.53094); translation from Mat. Zametki 108, No. 3, 334--359 (2020) Full Text: DOI OpenURL
Dobrokhotov, S. Yu.; Nazaikinskii, V. E. Efficient asymptotics in problems on the propagation of waves generated by localized sources in linear multidimensional inhomogeneous and dispersive media. (English. Russian original) Zbl 1450.35119 Comput. Math. Math. Phys. 60, No. 8, 1348-1360 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 8, 1394-1407 (2020). MSC: 35G10 35Q35 35Q41 35Q61 81Q20 PDF BibTeX XML Cite \textit{S. Yu. Dobrokhotov} and \textit{V. E. Nazaikinskii}, Comput. Math. Math. Phys. 60, No. 8, 1348--1360 (2020; Zbl 1450.35119); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 8, 1394--1407 (2020) Full Text: DOI OpenURL
Kordyukov, Yuri A. Semiclassical spectral analysis of Toeplitz operators on symplectic manifolds: the case of discrete wells. (English) Zbl 07263143 Math. Z. 296, No. 3-4, 911-943 (2020). MSC: 47B35 53D50 58J37 PDF BibTeX XML Cite \textit{Y. A. Kordyukov}, Math. Z. 296, No. 3--4, 911--943 (2020; Zbl 07263143) Full Text: DOI arXiv OpenURL
Ingremeau, Maxime Lower bounds for the number of nodal domains for sums of two distorted plane waves in non-positive curvature. (English) Zbl 1450.58014 Asian J. Math. 24, No. 3, 417-436 (2020). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58J50 58J37 58J51 60G60 PDF BibTeX XML Cite \textit{M. Ingremeau}, Asian J. Math. 24, No. 3, 417--436 (2020; Zbl 1450.58014) Full Text: DOI arXiv OpenURL
Arnaiz, Víctor Spectral stability and semiclassical measures for renormalized KAM systems. (English) Zbl 1448.35349 Nonlinearity 33, No. 6, 2562-2591 (2020). MSC: 35P20 37J40 35J10 58J50 PDF BibTeX XML Cite \textit{V. Arnaiz}, Nonlinearity 33, No. 6, 2562--2591 (2020; Zbl 1448.35349) Full Text: DOI arXiv OpenURL
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V. Uniform asymptotic solution in the form of an Airy function for semiclassical bound states in one-dimensional and radially symmetric problems. (English. Russian original) Zbl 1441.81091 Theor. Math. Phys. 201, No. 3, 1742-1770 (2019); translation from Teor. Mat. Fiz. 201, No. 3, 382-414 (2019). MSC: 81Q10 81Q20 33C10 34L40 34E10 PDF BibTeX XML Cite \textit{A. Yu. Anikin} et al., Theor. Math. Phys. 201, No. 3, 1742--1770 (2019; Zbl 1441.81091); translation from Teor. Mat. Fiz. 201, No. 3, 382--414 (2019) Full Text: DOI OpenURL
Kordyukov, Yu. A.; Taimanov, I. A. Trace formula for the magnetic Laplacian. (English. Russian original) Zbl 1433.58019 Russ. Math. Surv. 74, No. 2, 325-361 (2019); translation from Usp. Mat. Nauk 74, No. 2, 149-186 (2019). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 58J05 58J50 37J35 58J37 81Q20 PDF BibTeX XML Cite \textit{Yu. A. Kordyukov} and \textit{I. A. Taimanov}, Russ. Math. Surv. 74, No. 2, 325--361 (2019; Zbl 1433.58019); translation from Usp. Mat. Nauk 74, No. 2, 149--186 (2019) Full Text: DOI arXiv OpenURL
Dobrokhotov, Sergei Yu.; Minenkov, Dmitrii S.; Neishtadt, Anatoly I.; Shlosman, Semen B. Classical and quantum dynamics of a particle in a narrow angle. (English) Zbl 1434.35135 Regul. Chaotic Dyn. 24, No. 6, 704-716 (2019). MSC: 35Q40 35J10 35P20 35B40 33C10 PDF BibTeX XML Cite \textit{S. Yu. Dobrokhotov} et al., Regul. Chaotic Dyn. 24, No. 6, 704--716 (2019; Zbl 1434.35135) Full Text: DOI OpenURL
Ivrii, Victor Microlocal analysis, sharp spectral asymptotics and applications. V. Applications to quantum theory and miscellaneous problems. (English) Zbl 1445.35008 Cham: Springer (ISBN 978-3-030-30560-4/hbk; 978-3-030-30563-5/pbk; 978-3-030-30561-1/ebook). xxiv, 739 p. (2019). Reviewer: Luigi Rodino (Torino) MSC: 35-02 35S05 35A27 35Q41 PDF BibTeX XML Cite \textit{V. Ivrii}, Microlocal analysis, sharp spectral asymptotics and applications. V. Applications to quantum theory and miscellaneous problems. Cham: Springer (2019; Zbl 1445.35008) Full Text: DOI OpenURL
Ivrii, Victor Microlocal analysis, sharp spectral asymptotics and applications II. Functional methods and eigenvalue asymptotics. (English) Zbl 1441.35003 Cham: Springer (ISBN 978-3-030-30540-6/hbk; 978-3-030-30541-3/ebook). xix, 525 p. (2019). Reviewer: Luigi Rodino (Torino) MSC: 35-02 35P20 35A27 35S05 PDF BibTeX XML Cite \textit{V. Ivrii}, Microlocal analysis, sharp spectral asymptotics and applications II. Functional methods and eigenvalue asymptotics. Cham: Springer (2019; Zbl 1441.35003) Full Text: DOI OpenURL
Ivrii, Victor Microlocal analysis, sharp spectral asymptotics and applications I. Semiclassical microlocal analysis and local and microlocal semiclassical asymptotics. (English) Zbl 1441.35002 Cham: Springer (ISBN 978-3-030-30556-7/hbk; 978-3-030-30557-4/ebook). xlix, 889 p. (2019). Reviewer: Luigi Rodino (Torino) MSC: 35-02 35A27 35P20 35S05 35S30 35A21 35A18 PDF BibTeX XML Cite \textit{V. Ivrii}, Microlocal analysis, sharp spectral asymptotics and applications I. Semiclassical microlocal analysis and local and microlocal semiclassical asymptotics. Cham: Springer (2019; Zbl 1441.35002) Full Text: DOI OpenURL
Ivrii, V. Asymptotics of the ground state energy in the relativistic settings. (English) Zbl 1414.81278 St. Petersbg. Math. J. 30, No. 3, 445-456 (2019) and Algebra Anal. 30, No. 3, 76-92 (2018). MSC: 81V45 81V55 81Q20 35P15 PDF BibTeX XML Cite \textit{V. Ivrii}, St. Petersbg. Math. J. 30, No. 3, 445--456 (2019; Zbl 1414.81278) Full Text: DOI arXiv OpenURL
Bony, Jean-François; Fujiié, Setsuro; Ramond, Thierry; Zerzeri, Maher Barrier-top resonances for non globally analytic potentials. (English) Zbl 1420.35034 J. Spectr. Theory 9, No. 1, 315-348 (2019). MSC: 35B34 81Q20 37C25 35J10 35P20 35S10 35A27 35A21 PDF BibTeX XML Cite \textit{J.-F. Bony} et al., J. Spectr. Theory 9, No. 1, 315--348 (2019; Zbl 1420.35034) Full Text: DOI arXiv OpenURL
Fedotov, A. A. A monodromy matrix for the almost Mathieu equation with small coupling constant. (English. Russian original) Zbl 1416.39012 Funct. Anal. Appl. 52, No. 4, 311-315 (2018); translation from Funkts. Anal. Prilozh. 52, No. 4, 89-93 (2018). MSC: 39A70 39A06 81Q20 34B30 PDF BibTeX XML Cite \textit{A. A. Fedotov}, Funct. Anal. Appl. 52, No. 4, 311--315 (2018; Zbl 1416.39012); translation from Funkts. Anal. Prilozh. 52, No. 4, 89--93 (2018) Full Text: DOI OpenURL
Fedotov, A. A.; Shchetka, E. V. Semiclassical asymptotics of the spectrum of the subcritical Harper operator. (English. Russian original) Zbl 1447.47034 Math. Notes 104, No. 6, 933-938 (2018); translation from Mat. Zametki 104, No. 6, 948-952 (2018). MSC: 47B39 47A10 PDF BibTeX XML Cite \textit{A. A. Fedotov} and \textit{E. V. Shchetka}, Math. Notes 104, No. 6, 933--938 (2018; Zbl 1447.47034); translation from Mat. Zametki 104, No. 6, 948--952 (2018) Full Text: DOI OpenURL
Harnad, J; Ortmann, Janosch Asymptotics of quantum weighted Hurwitz numbers. (English) Zbl 1397.82048 J. Phys. A, Math. Theor. 51, No. 22, Article ID 225201, 21 p. (2018). MSC: 82D05 82B30 11M35 37K10 PDF BibTeX XML Cite \textit{J Harnad} and \textit{J. Ortmann}, J. Phys. A, Math. Theor. 51, No. 22, Article ID 225201, 21 p. (2018; Zbl 1397.82048) Full Text: DOI arXiv OpenURL
Macià, Fabricio; Rivière, Gabriel Two-microlocal regularity of quasimodes on the torus. (English) Zbl 1432.58028 Anal. PDE 11, No. 8, 2111-2136 (2018). MSC: 58J51 58J37 35P20 35Q41 58J50 35J15 PDF BibTeX XML Cite \textit{F. Macià} and \textit{G. Rivière}, Anal. PDE 11, No. 8, 2111--2136 (2018; Zbl 1432.58028) Full Text: DOI arXiv OpenURL
Athanassoulis, Agissilaos Semiclassical regularization of Vlasov equations and wavepackets for nonlinear Schrödinger equations. (English) Zbl 1387.81253 Nonlinearity 31, No. 3, 1045-1072 (2018). MSC: 81S30 35Q55 81Q20 81R30 35Q83 PDF BibTeX XML Cite \textit{A. Athanassoulis}, Nonlinearity 31, No. 3, 1045--1072 (2018; Zbl 1387.81253) Full Text: DOI arXiv OpenURL
Hitrik, Michael; Sjöstrand, Johannes Rational invariant tori and band edge spectra for non-selfadjoint operators. (English) Zbl 1405.35118 J. Eur. Math. Soc. (JEMS) 20, No. 2, 391-457 (2018). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 35P15 35P20 37J35 37J40 53D22 58J37 58J40 PDF BibTeX XML Cite \textit{M. Hitrik} and \textit{J. Sjöstrand}, J. Eur. Math. Soc. (JEMS) 20, No. 2, 391--457 (2018; Zbl 1405.35118) Full Text: DOI arXiv OpenURL
Bony, Jean-François; Fujiié, Setsuro; Ramond, Thierry; Zerzeri, Maher Quantization condition for multi-barrier resonances. (English) Zbl 1404.35125 RIMS Kôkyûroku Bessatsu B67, 43-53 (2017). MSC: 35J10 35P20 81Q20 PDF BibTeX XML Cite \textit{J.-F. Bony} et al., RIMS Kôkyûroku Bessatsu B67, 43--53 (2017; Zbl 1404.35125) OpenURL
Fischer, Stefan G.; Gneiting, Clemens; Buchleitner, Andreas Semiclassical asymptotics of the Aharonov-Bohm interference process. (English) Zbl 1382.81107 Ann. Phys., Berlin 529, No. 12, Article ID 1700120, 13 p. (2017). MSC: 81Q80 81Q20 PDF BibTeX XML Cite \textit{S. G. Fischer} et al., Ann. Phys., Berlin 529, No. 12, Article ID 1700120, 13 p. (2017; Zbl 1382.81107) Full Text: DOI arXiv OpenURL
Hassell, Andrew; Ivrii, Victor Spectral asymptotics for the semiclassical Dirichlet to Neumann operator. (English) Zbl 1373.35211 J. Spectr. Theory 7, No. 3, 881-905 (2017). MSC: 35P20 58J50 PDF BibTeX XML Cite \textit{A. Hassell} and \textit{V. Ivrii}, J. Spectr. Theory 7, No. 3, 881--905 (2017; Zbl 1373.35211) Full Text: DOI arXiv OpenURL
Küster, Benjamin On the semiclassical functional calculus for \(h\)-dependent functions. (English) Zbl 1432.58022 Ann. Global Anal. Geom. 52, No. 1, 57-97 (2017). MSC: 58J40 35J10 35P20 35S05 47G30 58J37 81Q20 PDF BibTeX XML Cite \textit{B. Küster}, Ann. Global Anal. Geom. 52, No. 1, 57--97 (2017; Zbl 1432.58022) Full Text: DOI arXiv OpenURL
Creagh, Stephen C.; Gradoni, Gabriele; Hartmann, Timo; Tanner, Gregor Propagating wave correlations in complex systems. (English) Zbl 1357.81095 J. Phys. A, Math. Theor. 50, No. 4, Article ID 045101, 18 p. (2017). MSC: 81Q20 60B20 37D45 81Q50 PDF BibTeX XML Cite \textit{S. C. Creagh} et al., J. Phys. A, Math. Theor. 50, No. 4, Article ID 045101, 18 p. (2017; Zbl 1357.81095) Full Text: DOI arXiv Link OpenURL
Helffer, Bernard; Kachmar, Ayman; Raymond, Nicolas Tunneling for the Robin Laplacian in smooth planar domains. (English) Zbl 1361.35119 Commun. Contemp. Math. 19, No. 1, Article ID 1650030, 38 p. (2017). MSC: 35P15 35P20 47F05 PDF BibTeX XML Cite \textit{B. Helffer} et al., Commun. Contemp. Math. 19, No. 1, Article ID 1650030, 38 p. (2017; Zbl 1361.35119) Full Text: DOI arXiv OpenURL
Dimassi, Mouez Semi-classical asymptotics for Schrödinger operator with oscillating decaying potential. (English) Zbl 1353.81049 Can. Math. Bull. 59, No. 4, 734-747 (2016). MSC: 81Q10 35P20 47A55 47N50 81Q15 81Q20 PDF BibTeX XML Cite \textit{M. Dimassi}, Can. Math. Bull. 59, No. 4, 734--747 (2016; Zbl 1353.81049) Full Text: DOI OpenURL
Lafitte, Olivier; Williams, Mark; Zumbrun, Kevin Block-diagonalization of ODEs in the semiclassical limit and \(C^\omega\) versus \(C^\infty\) stationary phase. (English) Zbl 1347.34094 SIAM J. Math. Anal. 48, No. 3, 1773-1797 (2016). Reviewer: Vasile Dragan (Bucureşti) MSC: 34E20 34E05 34E10 34A05 34C20 PDF BibTeX XML Cite \textit{O. Lafitte} et al., SIAM J. Math. Anal. 48, No. 3, 1773--1797 (2016; Zbl 1347.34094) Full Text: DOI arXiv OpenURL
Eswarathasan, Suresh Expected values of eigenfunction periods. (English) Zbl 1336.58018 J. Geom. Anal. 26, No. 1, 360-377 (2016). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J50 35P05 PDF BibTeX XML Cite \textit{S. Eswarathasan}, J. Geom. Anal. 26, No. 1, 360--377 (2016; Zbl 1336.58018) Full Text: DOI arXiv Link OpenURL
Kulagin, A. E.; Trifonov, A. Yu.; Shapovalov, A. V. Quasiparticles described by the Gross-Pitaevskii equation in the semiclassical approximation. (English. Russian original) Zbl 1331.35321 Russ. Phys. J. 58, No. 5, 606-615 (2015); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 58, No. 5, 20-28 (2015). MSC: 35Q55 81Q05 81Q20 PDF BibTeX XML Cite \textit{A. E. Kulagin} et al., Russ. Phys. J. 58, No. 5, 606--615 (2015; Zbl 1331.35321); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 58, No. 5, 20--28 (2015) Full Text: DOI OpenURL
Ludewig, Matthias A semiclassical heat kernel proof of the Poincaré-Hopf theorem. (English) Zbl 1367.58012 Manuscr. Math. 148, No. 1-2, 29-58 (2015). Reviewer: Yong Wang (Changchun) MSC: 58J37 PDF BibTeX XML Cite \textit{M. Ludewig}, Manuscr. Math. 148, No. 1--2, 29--58 (2015; Zbl 1367.58012) Full Text: DOI arXiv OpenURL
Lelièvre, Tony; Nier, Francis Low temperature asymptotics for quasistationary distributions in a bounded domain. (English) Zbl 1320.58021 Anal. PDE 8, No. 3, 561-628 (2015). MSC: 58J65 60J65 60J70 81Q20 PDF BibTeX XML Cite \textit{T. Lelièvre} and \textit{F. Nier}, Anal. PDE 8, No. 3, 561--628 (2015; Zbl 1320.58021) Full Text: DOI arXiv OpenURL
Di Cosmo, Jonathan; Van Schaftingen, Jean Semiclassical stationary states for nonlinear Schrödinger equations under a strong external magnetic field. (English) Zbl 1315.35200 J. Differ. Equations 259, No. 2, 596-627 (2015). MSC: 35Q55 35B25 35B40 35J20 81Q20 78A25 PDF BibTeX XML Cite \textit{J. Di Cosmo} and \textit{J. Van Schaftingen}, J. Differ. Equations 259, No. 2, 596--627 (2015; Zbl 1315.35200) Full Text: DOI arXiv OpenURL
Budylin, A. M.; Buslaev, V. S. Quasi-classical asymptotics of solutions to the matrix factorization problem with quadratically oscillating off-diagonal elements. (English. Russian original) Zbl 1307.35179 Funct. Anal. Appl. 48, No. 1, 1-14 (2014); translation from Funkts. Anal. Prilozh. 48, No. 1, 1-18 (2014). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q15 35Q55 35B40 PDF BibTeX XML Cite \textit{A. M. Budylin} and \textit{V. S. Buslaev}, Funct. Anal. Appl. 48, No. 1, 1--14 (2014; Zbl 1307.35179); translation from Funkts. Anal. Prilozh. 48, No. 1, 1--18 (2014) Full Text: DOI OpenURL
Ali, S. Twareque; Engliš, Miroslav Hermite polynomials and quasi-classical asymptotics. (English) Zbl 1301.81087 J. Math. Phys. 55, No. 4, 042102, 15 p. (2014). Reviewer: Isamu Dôku (Saitama) MSC: 81S10 33C45 81S30 32Q15 46E22 81Q20 47B32 PDF BibTeX XML Cite \textit{S. T. Ali} and \textit{M. Engliš}, J. Math. Phys. 55, No. 4, 042102, 15 p. (2014; Zbl 1301.81087) Full Text: DOI arXiv OpenURL
Melrose, Richard; Barreto, Antônio Sá; Vasy, András Analytic continuation and semiclassical resolvent estimates on asymptotically hyperbolic spaces. (English) Zbl 1323.58020 Commun. Partial Differ. Equations 39, No. 3, 452-511 (2014). Reviewer: Vladimir N. Karpushkin (Moskva) MSC: 58J40 35P25 58J37 PDF BibTeX XML Cite \textit{R. Melrose} et al., Commun. Partial Differ. Equations 39, No. 3, 452--511 (2014; Zbl 1323.58020) Full Text: DOI arXiv OpenURL
Hummel, Quirin; Urbina, Juan Diego; Richter, Klaus The Weyl expansion for systems of independent identical particles. (English) Zbl 1287.81052 J. Phys. A, Math. Theor. 47, No. 1, Article ID 015101, 34 p. (2014). Reviewer: Sven Bachmann (München) MSC: 81Q20 81V70 81Q10 81S05 PDF BibTeX XML Cite \textit{Q. Hummel} et al., J. Phys. A, Math. Theor. 47, No. 1, Article ID 015101, 34 p. (2014; Zbl 1287.81052) Full Text: DOI arXiv OpenURL
Levchenko, E. A.; Trifonov, A. Yu.; Shapovalov, A. V. Estimate of accuracy of solution of the nonlocal Fisher-Kolomogorov-Petrovskii-Piskunov equation. (English. Russian original) Zbl 1298.35023 Russ. Phys. J. 55, No. 12, 1425-1433 (2013); translation from Izv. Vyssh. Uchebn. Zaved., Fiz., No. 12, 47-53 (2012). MSC: 35B65 35G05 81Q20 PDF BibTeX XML Cite \textit{E. A. Levchenko} et al., Russ. Phys. J. 55, No. 12, 1425--1433 (2013; Zbl 1298.35023); translation from Izv. Vyssh. Uchebn. Zaved., Fiz., No. 12, 47--53 (2012) Full Text: DOI OpenURL
Dobrokhotov, S. Yu.; Makrakis, G. N.; Nazaikinskii, V. E.; Tudorovskii, T. Ya. New formulas for Maslov’s canonical operator in a neighborhood of focal points and caustics in two-dimensional semiclassical asymptotics. (English. Russian original) Zbl 1298.81091 Theor. Math. Phys. 177, No. 3, 1579-1605 (2013); translation from Teor. Mat. Fiz. 177, No. 3, 355-386 (2013). MSC: 81Q20 81Q05 PDF BibTeX XML Cite \textit{S. Yu. Dobrokhotov} et al., Theor. Math. Phys. 177, No. 3, 1579--1605 (2013; Zbl 1298.81091); translation from Teor. Mat. Fiz. 177, No. 3, 355--386 (2013) Full Text: DOI arXiv OpenURL
Cornean, Horia D.; Fournais, Søren; Frank, Rupert L.; Helffer, Bernard Sharp trace asymptotics for a class of \(2D\)-magnetic operators. (Asymptotiques précisées pour la trace d’une classe d’opérateurs de Schrödinger magnétiques en dimension 2.) (English. French summary) Zbl 1301.35070 Ann. Inst. Fourier 63, No. 6, 2457-2513 (2013). Reviewer: Guy Katriel (Haifa) MSC: 35P20 81V10 PDF BibTeX XML Cite \textit{H. D. Cornean} et al., Ann. Inst. Fourier 63, No. 6, 2457--2513 (2013; Zbl 1301.35070) Full Text: DOI arXiv Link OpenURL
Buckingham, Robert J.; Miller, Peter D. The sine-Gordon equation in the semiclassical limit: dynamics of fluxon condensates. (English) Zbl 1312.35147 Mem. Am. Math. Soc. 1059, v, 136 p. (2013). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q51 35B40 35Q15 PDF BibTeX XML Cite \textit{R. J. Buckingham} and \textit{P. D. Miller}, The sine-Gordon equation in the semiclassical limit: dynamics of fluxon condensates. Providence, RI: American Mathematical Society (AMS) (2013; Zbl 1312.35147) Full Text: DOI arXiv OpenURL
Lisok, Aleksandr L.; Shapovalov, Aleksandr V.; Trifonov, Andrey Yu. Symmetry and intertwining operators for the nonlocal Gross-Pitaevskii equation. (English) Zbl 1290.35245 SIGMA, Symmetry Integrability Geom. Methods Appl. 9, Paper 066, 21 p. (2013). MSC: 35Q55 45K05 76M60 81Q20 35B40 PDF BibTeX XML Cite \textit{A. L. Lisok} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 9, Paper 066, 21 p. (2013; Zbl 1290.35245) Full Text: DOI arXiv EMIS OpenURL
Datchev, Kiril; Dyatlov, Semyon Fractal Weyl laws for asymptotically hyperbolic manifolds. (English) Zbl 1297.58006 Geom. Funct. Anal. 23, No. 4, 1145-1206 (2013). Reviewer: Laurent Guillopé (Nantes) MSC: 58J50 35B34 35S05 35P20 81Q20 58J37 35P25 58J40 PDF BibTeX XML Cite \textit{K. Datchev} and \textit{S. Dyatlov}, Geom. Funct. Anal. 23, No. 4, 1145--1206 (2013; Zbl 1297.58006) Full Text: DOI arXiv OpenURL
Helffer, Bernard; Kordyukov, Yuri A. Eigenvalue estimates for a three-dimensional magnetic Schrödinger operator. (English) Zbl 1325.35123 Asymptotic Anal. 82, No. 1-2, 65-89 (2013). Reviewer: Takashi Ichinose (Kanazawa) MSC: 35P15 35J10 81Q10 PDF BibTeX XML Cite \textit{B. Helffer} and \textit{Y. A. Kordyukov}, Asymptotic Anal. 82, No. 1--2, 65--89 (2013; Zbl 1325.35123) Full Text: DOI arXiv OpenURL
Kordyukov, Yu. A.; Yakovlev, A. A. The problem of the number of integer points in families of anisotropically expanding domains, with applications to spectral theory. (English. Russian original) Zbl 1290.11133 Math. Notes 92, No. 4, 574-576 (2012); translation from Mat. Zametki 92, No. 4, 632-635 (2012). Reviewer: Olaf Ninnemann (Berlin) MSC: 11P21 34L20 35J10 47A75 52C07 58C40 81Q20 PDF BibTeX XML Cite \textit{Yu. A. Kordyukov} and \textit{A. A. Yakovlev}, Math. Notes 92, No. 4, 574--576 (2012; Zbl 1290.11133); translation from Mat. Zametki 92, No. 4, 632--635 (2012) Full Text: DOI OpenURL
Hitrik, Michael; Sjöstrand, Johannes Diophantine tori and Weyl laws for non-selfadjoint operators in dimension two. (English) Zbl 1256.35039 Commun. Math. Phys. 314, No. 2, 373-417 (2012). Reviewer: Mihai Pascu (Bucureşti) MSC: 35P20 35S05 47A55 47G30 PDF BibTeX XML Cite \textit{M. Hitrik} and \textit{J. Sjöstrand}, Commun. Math. Phys. 314, No. 2, 373--417 (2012; Zbl 1256.35039) Full Text: DOI arXiv OpenURL
Guillemin, Victor; Wang, Zuoqin Semiclassical spectral invariants for Schrödinger operators. (English) Zbl 1273.35198 J. Differ. Geom. 91, No. 1, 103-128 (2012). Reviewer: Mihai Pascu (Bucureşti) MSC: 35P20 35R20 45Q05 81Q20 PDF BibTeX XML Cite \textit{V. Guillemin} and \textit{Z. Wang}, J. Differ. Geom. 91, No. 1, 103--128 (2012; Zbl 1273.35198) Full Text: DOI arXiv Euclid OpenURL
Helffer, Bernard; Kordyukov, Yuri A. Semiclassical spectral asymptotics for a two-dimensional magnetic Schrödinger operator II: The case of degenerate wells. (English) Zbl 1247.35084 Commun. Partial Differ. Equations 37, No. 4-6, 1057-1095 (2012). Reviewer: Peter B. Gilkey (Eugene) MSC: 35P20 35J10 47F05 81Q10 PDF BibTeX XML Cite \textit{B. Helffer} and \textit{Y. A. Kordyukov}, Commun. Partial Differ. Equations 37, No. 4--6, 1057--1095 (2012; Zbl 1247.35084) Full Text: DOI arXiv OpenURL
Andersen, Jørgen Ellegaard; Himpel, Benjamin The Witten-Reshetikhin-Turaev invariants of finite order mapping tori. II. (English) Zbl 1260.57024 Quantum Topol. 3, No. 3-4, 377-421 (2012). Reviewer: Luiz Hartmann (São Carlos) MSC: 57M27 57R56 58J28 53D50 PDF BibTeX XML Cite \textit{J. E. Andersen} and \textit{B. Himpel}, Quantum Topol. 3, No. 3--4, 377--421 (2012; Zbl 1260.57024) Full Text: DOI arXiv Link OpenURL
Erdős, László; Fournais, Søren; Solovej, Jan Philip Second order semiclassics with self-generated magnetic fields. (English) Zbl 1252.81064 Ann. Henri Poincaré 13, No. 4, 671-730 (2012). Reviewer: Thierry Jecko (Cergy-Pontoise) MSC: 81Q20 81Q05 PDF BibTeX XML Cite \textit{L. Erdős} et al., Ann. Henri Poincaré 13, No. 4, 671--730 (2012; Zbl 1252.81064) Full Text: DOI arXiv OpenURL
Getmanenko, Alexander On eigenfunctions corresponding to a small resurgent eigenvalue. (English) Zbl 1255.34091 Asymptotic Anal. 76, No. 2, 87-114 (2012). Reviewer: Yoshitsugu Takei (Kyoto) MSC: 34M60 34M30 34E20 81Q20 34M03 PDF BibTeX XML Cite \textit{A. Getmanenko}, Asymptotic Anal. 76, No. 2, 87--114 (2012; Zbl 1255.34091) Full Text: DOI arXiv OpenURL
Trifonov, A. Yu.; Shapovalov, A. V. Semiclassical approximation for the twodimensional Fisher-Kolmogorov-Petrovskii-Piskunov equation with nonlocal nonlinearity in polar coordinates. (English. Russian original) Zbl 1329.81190 Russ. Phys. J. 53, No. 12, 1243-1253 (2011); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 53, No. 12, 21–29 (2010). MSC: 81Q20 35K57 PDF BibTeX XML Cite \textit{A. Yu. Trifonov} and \textit{A. V. Shapovalov}, Russ. Phys. J. 53, No. 12, 1243--1253 (2011; Zbl 1329.81190); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 53, No. 12, 21--29 (2010) Full Text: DOI OpenURL
Vũ Ngọc, San Symplectic inverse spectral theory for pseudodifferential operators. (English) Zbl 1277.47065 van den Ban, Erik P. (ed.) et al., Geometric aspects of analysis and mechanics. In honor of the 65th birthday of Hans Duistermaat. Basel: Birkhäuser (ISBN 978-0-8176-8243-9/hbk; 978-0-8176-8244-6/ebook). Progress in Mathematics 292, 353-372 (2011). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47G30 81Q20 35P20 58E05 PDF BibTeX XML Cite \textit{S. Vũ Ngọc}, Prog. Math. 292, 353--372 (2011; Zbl 1277.47065) Full Text: DOI arXiv Link OpenURL
Frank, Rupert L.; Geisinger, Leander Two-term spectral asymptotics for the Dirichlet Laplacian on a bounded domain. (English) Zbl 1253.47031 Exner, Pavel (ed.), Mathematical results in quantum physics. Proceedings of the QMath11 conference, Hradec Králové, Czech Republc, September 6–10, 2010. Special session in honour of Ari Laptev. With DVD-ROM. Hackensack, NJ: World Scientific (ISBN 978-981-4350-35-8/hbk; 978-981-4350-36-5/ebook). 138-147 (2011). Reviewer: Mihai Pascu (Bucureşti) MSC: 47F05 35P20 35J05 81Q20 PDF BibTeX XML Cite \textit{R. L. Frank} and \textit{L. Geisinger}, in: Mathematical results in quantum physics. Proceedings of the QMath11 conference, Hradec Králové, Czech Republc, September 6--10, 2010. Special session in honour of Ari Laptev. With DVD-ROM. Hackensack, NJ: World Scientific. 138--147 (2011; Zbl 1253.47031) Full Text: arXiv Link OpenURL
Markowich, Peter A. Numerical analysis of Schrödinger equations in the highly oscillatory regime. (English) Zbl 1228.65146 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. IV: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-34-2/hbk; 978-81-85931-08-3/hbk; 978-981-4324-31-1/set; 978-981-4324-35-9/ebook). 2776-2804 (2011). MSC: 65M06 65M70 35Q55 35Q41 65M12 PDF BibTeX XML Cite \textit{P. A. Markowich}, in: Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19--27, 2010. Vol. IV: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency. 2776--2804 (2011; Zbl 1228.65146) Full Text: Link OpenURL
Le Peutrec, Dorian Local WKB construction for Witten Laplacians on manifolds with boundary. (English) Zbl 1225.58012 Anal. PDE 3, No. 3, 227-260 (2010). Reviewer: Dumitru Motreanu (Perpignan) MSC: 58J32 58J10 58J37 81Q20 PDF BibTeX XML Cite \textit{D. Le Peutrec}, Anal. PDE 3, No. 3, 227--260 (2010; Zbl 1225.58012) Full Text: DOI Link OpenURL
Hillairet, Luc Eigenvalue variations and semiclassical concentration. (English) Zbl 1231.35052 Jakobson, Dmitry (ed.) et al., Spectrum and dynamics. Proceedings of the workshop, Montréal, Canada, April 7–11, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4778-7/pbk). CRM Proceedings and Lecture Notes 52, 75-87 (2010). Reviewer: Stepan Agop Tersian (Rousse) MSC: 35J10 58J37 35P20 PDF BibTeX XML Cite \textit{L. Hillairet}, in: Spectrum and dynamics. Proceedings of the workshop, Montréal, Canada, April 7--11, 2008. Providence, RI: American Mathematical Society (AMS). 75--87 (2010; Zbl 1231.35052) Full Text: arXiv OpenURL
Johnson-Freyd, Theo Feynman-diagrammatic description of the asymptotics of the time evolution operator in quantum mechanics. (English) Zbl 1201.81059 Lett. Math. Phys. 94, No. 2, 123-149 (2010). MSC: 81Q30 81S40 81Q15 81Q05 PDF BibTeX XML Cite \textit{T. Johnson-Freyd}, Lett. Math. Phys. 94, No. 2, 123--149 (2010; Zbl 1201.81059) Full Text: DOI arXiv OpenURL
Albeverio, Sergio; Mazzucchi, Sonia Infinite dimensional oscillatory integrals with polynomial phase function and the trace formula for the heat semigroup. (English) Zbl 1208.28009 Dai, Xianzhe (ed.) et al., From probability to geometry I. Volume in honor of the 60th birthday of Jean-Michel Bismut. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-288-4/pbk). Astérisque 327, 17-45 (2009). Reviewer: Sobhakar Ganguly (Kolkata) MSC: 28C20 34E05 35K05 35C15 35C20 PDF BibTeX XML Cite \textit{S. Albeverio} and \textit{S. Mazzucchi}, Astérisque 327, 17--45 (2009; Zbl 1208.28009) Full Text: arXiv Link OpenURL
Koldan, Nilufer; Prokhorenkov, Igor; Shubin, Mikhail Semiclassical asymptotics on manifolds with boundary. (English) Zbl 1198.35165 Kotani, Motoko (ed.) et al., Spectral analysis in geometry and number theory. International conference on the occasion of Toshikazu Sunada’s 60th birthday, August 6–10, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4269-0/pbk). Contemporary Mathematics 484, 239-266 (2009). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35P20 81Q10 81Q15 81Q20 53Z05 PDF BibTeX XML Cite \textit{N. Koldan} et al., Contemp. Math. 484, 239--266 (2009; Zbl 1198.35165) Full Text: arXiv OpenURL
Mo, Man Yue Double scaling limit of semiclassical orthogonal polynomials in the center of a tree and the Painlevé 1 equation. (English) Zbl 1172.33305 Int. Math. Res. Not. 2009, No. 7, 1304-1353 (2009). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 33C47 33E17 34M50 PDF BibTeX XML Cite \textit{M. Y. Mo}, Int. Math. Res. Not. 2009, No. 7, 1304--1353 (2009; Zbl 1172.33305) Full Text: DOI OpenURL
Athanassoulis, Agissilaos G.; Mauser, Norbert J.; Paul, Thierry Coarse-scale representations and smoothed Wigner transforms. (English) Zbl 1170.81033 J. Math. Pures Appl. (9) 91, No. 3, 296-338 (2009). MSC: 81S30 81Q05 35R50 81Q20 PDF BibTeX XML Cite \textit{A. G. Athanassoulis} et al., J. Math. Pures Appl. (9) 91, No. 3, 296--338 (2009; Zbl 1170.81033) Full Text: DOI arXiv OpenURL
Liu, Hailiang; Wang, Zhongming A Bloch band based level set method for computing the semiclassical limit of Schrödinger equations. (English) Zbl 1168.65056 J. Comput. Phys. 228, No. 9, 3326-3344 (2009). Reviewer: Gerald W. Hedstrom (Pleasanton) MSC: 65M70 81Q05 35Q40 PDF BibTeX XML Cite \textit{H. Liu} and \textit{Z. Wang}, J. Comput. Phys. 228, No. 9, 3326--3344 (2008; Zbl 1168.65056) Full Text: DOI Link OpenURL
Miller, Peter D. Riemann-Hilbert problems with lots of discrete spectrum. (English) Zbl 1180.30049 Baik, Jinho (ed.) et al., Integrable systems and random matrices. In honor of Percy Deift. Conference on integrable systems, random matrices, and applications in honor of Percy Deift’s 60th birthday, New York, NY, USA, May 22–26, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4240-9/pbk). Contemporary Mathematics 458, 163-181 (2008). Reviewer: Messoud A. Efendiev (Berlin) MSC: 30E25 37K15 37K40 35Q53 35Q55 42C05 PDF BibTeX XML Cite \textit{P. D. Miller}, Contemp. Math. 458, 163--181 (2008; Zbl 1180.30049) OpenURL
Shapovalov, Alexander; Trifonov, Andrey; Masalova, Elena Nonlinear Fokker-Planck equation in the model of asset returns. (English) Zbl 1166.35340 SIGMA, Symmetry Integrability Geom. Methods Appl. 4, Paper 038, 10 p. (2008). MSC: 35K55 35K15 91B26 PDF BibTeX XML Cite \textit{A. Shapovalov} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 4, Paper 038, 10 p. (2008; Zbl 1166.35340) Full Text: DOI arXiv EuDML OpenURL
Giannoulis, Johannes; Mielke, Alexander; Sparber, Christof Interaction of modulated pulses in the nonlinear Schrödinger equation with periodic potential. (English) Zbl 1185.35256 J. Differ. Equations 245, No. 4, 939-963 (2008). MSC: 35Q55 81Q20 PDF BibTeX XML Cite \textit{J. Giannoulis} et al., J. Differ. Equations 245, No. 4, 939--963 (2008; Zbl 1185.35256) Full Text: DOI arXiv Link OpenURL
Chernyshev, V. L.; Shafarevich, A. I. Semiclassical spectrum of the Schrödinger operator on a geometric graph. (English. Russian original) Zbl 1160.47022 Math. Notes 82, No. 4, 542-554 (2007); translation from Mat. Zametki 82, No. 4, 606-620 (2007). Reviewer: Ti-Jun Xiao (Fudan) MSC: 47B25 35J10 35P05 81Q20 PDF BibTeX XML Cite \textit{V. L. Chernyshev} and \textit{A. I. Shafarevich}, Math. Notes 82, No. 4, 542--554 (2007; Zbl 1160.47022); translation from Mat. Zametki 82, No. 4, 606--620 (2007) Full Text: DOI OpenURL
Khochman, Abdallah Resonances and spectral shift function for the semi-classical Dirac operator. (English) Zbl 1144.35339 Rev. Math. Phys. 19, No. 10, 1071-1115 (2007). MSC: 35B34 35P05 34L40 81Q20 81Q10 35Q40 PDF BibTeX XML Cite \textit{A. Khochman}, Rev. Math. Phys. 19, No. 10, 1071--1115 (2007; Zbl 1144.35339) Full Text: DOI arXiv OpenURL
Voros, André From exact-WKB toward singular quantum perturbation theory. II. (English) Zbl 1139.81348 Aoki, Takashi (ed.) et al., Algebraic analysis of differential equations. From microlocal analysis to exponential asymptotics. Festschrift in honor of Takahiro Kawai. Containing papers presented at the conference on algebraic analysis of differential equations–from microlocal analysis to exponential asymptotics, Kyoto, Japan, July 7–14, 2005. Tokyo: Springer (ISBN 978-4-431-73239-6/hbk). 321-334 (2007). MSC: 81Q20 34E20 34L40 81Q15 PDF BibTeX XML Cite \textit{A. Voros}, in: Algebraic analysis of differential equations. From microlocal analysis to exponential asymptotics. Festschrift in honor of Takahiro Kawai. Containing papers presented at the conference on algebraic analysis of differential equations--from microlocal analysis to exponential asymptotics, Kyoto, Japan, July 7--14, 2005. Tokyo: Springer. 321--334 (2007; Zbl 1139.81348) Full Text: arXiv OpenURL
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof A Bloch decomposition – based split-step pseudospectral method for quantum dynamics with periodic potentials. (English) Zbl 1136.65093 SIAM J. Sci. Comput. 29, No. 2, 515-538 (2007). MSC: 65M70 35B27 65M20 35Q40 81Q20 81Q05 65M50 PDF BibTeX XML Cite \textit{Z. Huang} et al., SIAM J. Sci. Comput. 29, No. 2, 515--538 (2007; Zbl 1136.65093) Full Text: DOI arXiv OpenURL
Zielinski, Lech Sharp semiclassical estimates for the number of eigenvalues below a totally degenerate critical level. (English) Zbl 1131.35052 J. Funct. Anal. 248, No. 2, 259-302 (2007). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35P15 47F05 81Q10 PDF BibTeX XML Cite \textit{L. Zielinski}, J. Funct. Anal. 248, No. 2, 259--302 (2007; Zbl 1131.35052) Full Text: DOI OpenURL
Zielinski, Lech Semiclassical distribution of eigenvalues for elliptic operators with Hölder continuous coefficients. II: Critical case. (English) Zbl 1199.35268 Davidson, Kenneth R. (ed.) et al., Operator theory 20. Proceedings of the 20th international conference on operator theory, Timişoara, Romania, June 30–July 5, 2004. Bucharest: Theta (ISBN 978-973-85432-9-4; 973-85432-9-0). Theta Series in Advanced Mathematics 6, 261-274 (2006). MSC: 35P20 47F05 35J99 PDF BibTeX XML Cite \textit{L. Zielinski}, Theta Ser. Adv. Math. 6, 261--274 (2006; Zbl 1199.35268) OpenURL
Nekrasov, R. V. Semiclassical spectral series of the schrödinger operator on surfaces in magnetic fields. (English) Zbl 1115.81342 Math. Notes 80, No. 1, 65-71 (2006); translation from Mat. Zametki 80, No. 1, 69-75 (2006). MSC: 81Q10 81Q20 35P20 PDF BibTeX XML Cite \textit{R. V. Nekrasov}, Math. Notes 80, No. 1, 65--71 (2006; Zbl 1115.81342); translation from Mat. Zametki 80, No. 1, 69--75 (2006) Full Text: DOI OpenURL
Fujiwara, Daisuke; Kumano-go, Naoto An improved remainder estimate of stationary phase method for some oscillatory integrals over a space of large dimension. (English) Zbl 1113.81091 Funkc. Ekvacioj, Ser. Int. 49, No. 1, 59-86 (2006). MSC: 81S40 58D30 81Q20 35S30 58J37 PDF BibTeX XML Cite \textit{D. Fujiwara} and \textit{N. Kumano-go}, Funkc. Ekvacioj, Ser. Int. 49, No. 1, 59--86 (2006; Zbl 1113.81091) Full Text: DOI OpenURL
De Micheli, E.; Viano, G. A. Geometrical theory of diffracted rays, orbiting and complex rays. (English) Zbl 1114.58023 Russ. J. Math. Phys. 13, No. 3, 253-277 (2006). MSC: 58J37 35J05 53C22 81Q20 81V55 53C80 PDF BibTeX XML Cite \textit{E. De Micheli} and \textit{G. A. Viano}, Russ. J. Math. Phys. 13, No. 3, 253--277 (2006; Zbl 1114.58023) Full Text: DOI arXiv OpenURL
Kryvko, A.; Kucherenko, V. V. Semiclassical asymptotics of the vector Sturm-Liouville problem. (English) Zbl 1124.34061 Russ. J. Math. Phys. 13, No. 2, 188-202 (2006). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 34L20 34L40 81Q20 PDF BibTeX XML Cite \textit{A. Kryvko} and \textit{V. V. Kucherenko}, Russ. J. Math. Phys. 13, No. 2, 188--202 (2006; Zbl 1124.34061) Full Text: DOI OpenURL
Nicoleau, François An inverse scattering problem for the Schrödinger equation in a semiclassical process. (English) Zbl 1110.81070 J. Math. Pures Appl. (9) 86, No. 6, 463-470 (2006). Reviewer: Viorel Iftimie (Bucureşti) MSC: 81Q05 81U40 47F05 PDF BibTeX XML Cite \textit{F. Nicoleau}, J. Math. Pures Appl. (9) 86, No. 6, 463--470 (2006; Zbl 1110.81070) Full Text: DOI arXiv OpenURL
Zielinski, Lech Semiclassical Weyl formula for a class of weakly regular elliptic operators. (English) Zbl 1105.35065 Math. Phys. Anal. Geom. 9, No. 1, 1-21 (2006). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35P20 35P15 35J25 PDF BibTeX XML Cite \textit{L. Zielinski}, Math. Phys. Anal. Geom. 9, No. 1, 1--21 (2006; Zbl 1105.35065) Full Text: DOI OpenURL
Borisov, A. V.; Trifonov, A. Yu.; Shapovalov, A. V. The nonlinear Schrödinger equation for a multi-dimensional system in an oscillator field. (English. Russian original) Zbl 1106.35090 Russ. Phys. J. 48, No. 7, 746-753 (2005); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 48, No. 7, 70-75 (2005). MSC: 35Q55 81Q20 37K40 PDF BibTeX XML Cite \textit{A. V. Borisov} et al., Russ. Phys. J. 48, No. 7, 746--753 (2005; Zbl 1106.35090); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 48, No. 7, 70--75 (2005) Full Text: DOI OpenURL
Borisov, Alexey; Shapovalov, Alexander; Trifonov, Andrey Transverse evolution operator for the Gross-Pitaevskii equation in semiclassical approximation. (English) Zbl 1092.81025 SIGMA, Symmetry Integrability Geom. Methods Appl. 1, Paper 019, 17 p. (2005). MSC: 81Q20 35B25 35C20 35Q55 PDF BibTeX XML Cite \textit{A. Borisov} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 1, Paper 019, 17 p. (2005; Zbl 1092.81025) Full Text: DOI arXiv EuDML EMIS OpenURL
Shapovalov, Alexander; Trifonov, Andrey; Lisok, Alexander Exact solutions and symmetry operators for the nonlocal Gross-Pitaevskii equation with quadratic potential. (English) Zbl 1092.81027 SIGMA, Symmetry Integrability Geom. Methods Appl. 1, Paper 007, 14 p. (2005). MSC: 81Q20 81R30 35Q55 81V15 PDF BibTeX XML Cite \textit{A. Shapovalov} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 1, Paper 007, 14 p. (2005; Zbl 1092.81027) Full Text: DOI arXiv EuDML EMIS OpenURL
Lisok, A. L.; Trifonov, A. Yu.; Shapovalov, A. V. Symmetry operators of a Hartree-type equation with quadratic potential. (Russian, English) Zbl 1081.35094 Sib. Mat. Zh. 46, No. 1, 149-165 (2005); translation in Sib. Math. J. 46, No. 1, 119-132 (2005). Reviewer: V. Grebenev (Novosibirsk) MSC: 35Q40 35A30 58J70 47H20 81Q05 PDF BibTeX XML Cite \textit{A. L. Lisok} et al., Sib. Mat. Zh. 46, No. 1, 149--165 (2005; Zbl 1081.35094); translation in Sib. Math. J. 46, No. 1, 119--132 (2005) Full Text: EuDML EMIS OpenURL
Dimassi, Mouez Spectral shift function and resonances for slowly varying perturbations of periodic Schrödinger operators. (English) Zbl 1137.35343 J. Funct. Anal. 225, No. 1, 193-228 (2005). MSC: 35J10 35B10 47A55 47F05 81Q20 PDF BibTeX XML Cite \textit{M. Dimassi}, J. Funct. Anal. 225, No. 1, 193--228 (2005; Zbl 1137.35343) Full Text: DOI OpenURL
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof; Zheng, Chunxiong A time-splitting spectral scheme for the Maxwell-Dirac system. (English) Zbl 1070.81040 J. Comput. Phys. 208, No. 2, 761-789 (2005). MSC: 81Q05 81V10 81Q20 81-04 PDF BibTeX XML Cite \textit{Z. Huang} et al., J. Comput. Phys. 208, No. 2, 761--789 (2005; Zbl 1070.81040) Full Text: DOI arXiv OpenURL
Carles, Rémi; Markowich, Peter A.; Sparber, Christof Semiclassical asymptotics for weakly nonlinear Bloch waves. (English) Zbl 1104.81049 J. Stat. Phys. 117, No. 1-2, 343-375 (2004). Reviewer: Takashi Ichinose (Kanazawa) MSC: 81Q20 34E13 34E20 35Q55 PDF BibTeX XML Cite \textit{R. Carles} et al., J. Stat. Phys. 117, No. 1--2, 343--375 (2004; Zbl 1104.81049) Full Text: DOI arXiv OpenURL
Aramaki, Junichi Semiclassical asymptotics of the trace of the heat kernel for the Schrödinger operator with a degenerate potential. (English) Zbl 1124.81021 Int. J. Pure Appl. Math. 15, No. 1, 103-136 (2004). Reviewer: Messoud A. Efendiev (Berlin) MSC: 81Q20 35J10 35P20 PDF BibTeX XML Cite \textit{J. Aramaki}, Int. J. Pure Appl. Math. 15, No. 1, 103--136 (2004; Zbl 1124.81021) OpenURL
Katsuda, Atsushi Asymptotics of heat kernels on nilpotent coverings and related topics. (English) Zbl 1077.58013 Isozaki, Hiroshi (ed.), Inverse problems and spectral theory. Proceedings of the workshop on spectral theory of differential operators and inverse problems, Kyoto University, Kyoto, Japan, October 28–November 1, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3421-5/pbk). Contemporary Mathematics 348, 155-167 (2004). MSC: 58J37 58J35 22E27 81Q20 14H30 35A30 35K05 PDF BibTeX XML Cite \textit{A. Katsuda}, Contemp. Math. 348, 155--167 (2004; Zbl 1077.58013) OpenURL