Fedotov, A. A. Complex WKB method for a system of two linear difference equations. (English. Russian original) Zbl 07491003 St. Petersbg. Math. J. 33, No. 2, 405-425 (2022); translation from Algebra Anal. 33, No. 2, 298-326 (2021). MSC: 39A45 39A12 34M30 34M60 PDF BibTeX XML Cite \textit{A. A. Fedotov}, St. Petersbg. Math. J. 33, No. 2, 405--425 (2022; Zbl 07491003); translation from Algebra Anal. 33, No. 2, 298--326 (2021) Full Text: DOI OpenURL
Eckhardt, Jonathan; Kostenko, Aleksey On the absolutely continuous spectrum of generalized indefinite strings. (English) Zbl 07432933 Ann. Henri Poincaré 22, No. 11, 3529-3564 (2021). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 34L05 34B07 34B20 34L25 PDF BibTeX XML Cite \textit{J. Eckhardt} and \textit{A. Kostenko}, Ann. Henri Poincaré 22, No. 11, 3529--3564 (2021; Zbl 07432933) Full Text: DOI arXiv OpenURL
Fucci, Guglielmo; Gesztesy, Fritz; Kirsten, Klaus; Stanfill, Jonathan Spectral \(\zeta\)-functions and \(\zeta\)-regularized functional determinants for regular Sturm-Liouville operators. (English) Zbl 07423435 Res. Math. Sci. 8, No. 4, Paper No. 61, 46 p. (2021). MSC: 47A10 47B10 47G10 34B27 34L40 PDF BibTeX XML Cite \textit{G. Fucci} et al., Res. Math. Sci. 8, No. 4, Paper No. 61, 46 p. (2021; Zbl 07423435) Full Text: DOI arXiv OpenURL
Baibulov, I. V.; Budylin, A. M.; Levin, S. B. The scattering problem of three one-dimensional short-range quantum particles involving bound states in pair subsystems. The coordinate asymptotics of the resolvent kernel and of the eigenfunctions of the absolutely continuous spectrum. (English. Russian original) Zbl 1455.81044 J. Math. Sci., New York 252, No. 5, 567-575 (2021); translation from Zap. Nauchn. Semin. POMI 483, 5-18 (2019). MSC: 81U10 81V45 81Q10 34L40 34L20 47A10 PDF BibTeX XML Cite \textit{I. V. Baibulov} et al., J. Math. Sci., New York 252, No. 5, 567--575 (2021; Zbl 1455.81044); translation from Zap. Nauchn. Semin. POMI 483, 5--18 (2019) Full Text: DOI OpenURL
Sukhanov, V. V. Trace formulas for the one-dimensional Stark operator and integrals of motion for the cylindrical Korteweg-de Vries equation. (English. Russian original) Zbl 1453.34108 St. Petersbg. Math. J. 31, No. 5, 903-910 (2020); translation from Algebra Anal. 31, No. 5, 206-215 (2019). MSC: 34L05 34A55 34L40 34A05 PDF BibTeX XML Cite \textit{V. V. Sukhanov}, St. Petersbg. Math. J. 31, No. 5, 903--910 (2020; Zbl 1453.34108); translation from Algebra Anal. 31, No. 5, 206--215 (2019) Full Text: DOI OpenURL
Fialkovsky, Ignat; Perel, Maria Mode transformation for a Schrödinger type equation: avoided and unavoidable level crossings. (English) Zbl 1461.81031 J. Math. Phys. 61, No. 4, 043506, 30 p. (2020). Reviewer: Vatsal Dwivedi (Köln) MSC: 81Q05 81Q15 81Q37 35C20 34E20 PDF BibTeX XML Cite \textit{I. Fialkovsky} and \textit{M. Perel}, J. Math. Phys. 61, No. 4, 043506, 30 p. (2020; Zbl 1461.81031) Full Text: DOI arXiv OpenURL
Takhtajan, Leon A. Etudes of the resolvent. (English. Russian original) Zbl 1440.47004 Russ. Math. Surv. 75, No. 1, 147-186 (2020); translation from Usp. Mat. Nauk 75, No. 1, 155-194 (2020). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 47A10 47B25 34B24 35P10 47-02 PDF BibTeX XML Cite \textit{L. A. Takhtajan}, Russ. Math. Surv. 75, No. 1, 147--186 (2020; Zbl 1440.47004); translation from Usp. Mat. Nauk 75, No. 1, 155--194 (2020) Full Text: DOI arXiv OpenURL
Korotyaev, Evgeny Trace formulas for Schrödinger operators with complex potentials on a half line. (English) Zbl 1442.47032 Lett. Math. Phys. 110, No. 1, 1-20 (2020). Reviewer: Guy Katriel (Haifa) MSC: 47E05 34L20 34L40 81Q10 PDF BibTeX XML Cite \textit{E. Korotyaev}, Lett. Math. Phys. 110, No. 1, 1--20 (2020; Zbl 1442.47032) Full Text: DOI arXiv OpenURL
Fedotov, A. A. On minimal entire solutions of the one-dimensional difference Schrödinger equation with the potential \(v(z) = e^{-2\pi iz}\). (English. Russian original) Zbl 1480.39015 J. Math. Sci., New York 238, No. 5, 750-761 (2019); translation from Zap. Nauchn. Semin. POMI 461, 279-297 (2017). Reviewer: Molyboga Volodymyr (Kyiv) MSC: 39A45 39A12 39A22 34L40 PDF BibTeX XML Cite \textit{A. A. Fedotov}, J. Math. Sci., New York 238, No. 5, 750--761 (2019; Zbl 1480.39015); translation from Zap. Nauchn. Semin. POMI 461, 279--297 (2017) Full Text: DOI OpenURL
Gesztesy, Fritz; Kirsten, Klaus Effective computation of traces, determinants, and \(\zeta\)-functions for Sturm-Liouville operators. (English) Zbl 06988448 J. Funct. Anal. 276, No. 2, 520-562 (2019). MSC: 47A10 47B10 47G10 34B27 34L40 PDF BibTeX XML Cite \textit{F. Gesztesy} and \textit{K. Kirsten}, J. Funct. Anal. 276, No. 2, 520--562 (2019; Zbl 06988448) 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
Usman, Muhammad; Zaidi, Ali Ashher Trace formulas for Schrödinger operators on star graphs with general matching conditions. (English) Zbl 1397.81075 J. Phys. A, Math. Theor. 51, No. 36, Article ID 365301, 18 p. (2018). MSC: 81Q35 05C12 81Q10 34L40 PDF BibTeX XML Cite \textit{M. Usman} and \textit{A. A. Zaidi}, J. Phys. A, Math. Theor. 51, No. 36, Article ID 365301, 18 p. (2018; Zbl 1397.81075) Full Text: DOI OpenURL
Its, A. R.; Lisovyy, O.; Prokhorov, A. Monodromy dependence and connection formulae for isomonodromic tau functions. (English) Zbl 1396.33039 Duke Math. J. 167, No. 7, 1347-1432 (2018). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 33E17 34E05 34E10 34M35 34M40 34M55 34M56 PDF BibTeX XML Cite \textit{A. R. Its} et al., Duke Math. J. 167, No. 7, 1347--1432 (2018; Zbl 1396.33039) Full Text: DOI arXiv Euclid OpenURL
Fedotov, A. A.; Shchetka, E. V. The complex WKB method for difference equations in bounded domains. (English. Russian original) Zbl 1476.39025 J. Math. Sci., New York 224, No. 1, 157-169 (2017); translation from Zap. Nauchn. Semin. POMI 438, 236-256 (2015). MSC: 39A70 34E20 39A12 39B32 PDF BibTeX XML Cite \textit{A. A. Fedotov} and \textit{E. V. Shchetka}, J. Math. Sci., New York 224, No. 1, 157--169 (2017; Zbl 1476.39025); translation from Zap. Nauchn. Semin. POMI 438, 236--256 (2015) Full Text: DOI OpenURL
Bikmetov, A. R.; Khusnullin, I. Kh. Perturbation of the Hill operator by narrow potentials. (English. Russian original) Zbl 1385.34060 Russ. Math. 61, No. 7, 1-10 (2017); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2017, No. 7, 3-13 (2017). Reviewer: Rakib Efendiev (Baku) MSC: 34L40 34L05 34D10 PDF BibTeX XML Cite \textit{A. R. Bikmetov} and \textit{I. Kh. Khusnullin}, Russ. Math. 61, No. 7, 1--10 (2017; Zbl 1385.34060); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2017, No. 7, 3--13 (2017) Full Text: DOI OpenURL
Klopp, F.; Fedotov, A. A. Stark-Wannier ladders and cubic exponential sums. (English. Russian original) Zbl 1360.34174 Funct. Anal. Appl. 50, No. 3, 233-236 (2016); translation from Funkts. Anal. Prilozh. 50, No. 3, 81-85 (2016). MSC: 34L40 34L05 PDF BibTeX XML Cite \textit{F. Klopp} and \textit{A. A. Fedotov}, Funct. Anal. Appl. 50, No. 3, 233--236 (2016; Zbl 1360.34174); translation from Funkts. Anal. Prilozh. 50, No. 3, 81--85 (2016) Full Text: DOI arXiv OpenURL
Giachetti, Riccardo; Grecchi, Vincenzo Bender-Wu singularities. (English) Zbl 1353.81052 J. Math. Phys. 57, No. 12, 122109, 13 p. (2016). MSC: 81Q10 34L40 34L05 PDF BibTeX XML Cite \textit{R. Giachetti} and \textit{V. Grecchi}, J. Math. Phys. 57, No. 12, 122109, 13 p. (2016; Zbl 1353.81052) Full Text: DOI arXiv OpenURL
Weder, Ricardo Trace formulas for the matrix Schrödinger operator on the half-line with general boundary conditions. (English) Zbl 1351.81050 J. Math. Phys. 57, No. 11, 112101, 11 p. (2016). MSC: 81Q10 34L40 PDF BibTeX XML Cite \textit{R. Weder}, J. Math. Phys. 57, No. 11, 112101, 11 p. (2016; Zbl 1351.81050) Full Text: DOI arXiv OpenURL
Simonov, Sergey Zeroes of the spectral density of the Schrödinger operator with the slowly decaying Wigner-von Neumann potential. (English) Zbl 1372.47059 Math. Z. 284, No. 1-2, 335-411 (2016). Reviewer: Ekin Uğurlu (Ankara) MSC: 47E05 34B20 34L40 PDF BibTeX XML Cite \textit{S. Simonov}, Math. Z. 284, No. 1--2, 335--411 (2016; Zbl 1372.47059) Full Text: DOI arXiv OpenURL
Egorova, Iryna; Holzleitner, Markus; Teschl, Gerald Zero energy scattering for one-dimensional Schrödinger operators and applications to dispersive estimates. (English) Zbl 1343.34197 Proc. Am. Math. Soc., Ser. B 2, 51-59 (2015). Reviewer: Jonathan Eckhardt (Wien) MSC: 34L25 35Q41 81U30 34L40 PDF BibTeX XML Cite \textit{I. Egorova} et al., Proc. Am. Math. Soc., Ser. B 2, 51--59 (2015; Zbl 1343.34197) Full Text: DOI arXiv OpenURL
Bothner, Thomas; Its, Alexander Rudol’fovich Asymptotics of a cubic sine kernel determinant. (English) Zbl 1318.82015 St. Petersbg. Math. J. 26, No. 4, 515-565 (2015) and Algebra Anal. 26, No. 4, 2-91 (2014). MSC: 82B23 33E05 34E05 34M50 82C23 15B52 15A15 PDF BibTeX XML Cite \textit{T. Bothner} and \textit{A. R. Its}, St. Petersbg. Math. J. 26, No. 4, 515--565 (2015; Zbl 1318.82015) Full Text: DOI arXiv OpenURL
Kostenko, Aleksey A note on \(J\)-positive block operator matrices. (English) Zbl 1342.47056 Integral Equations Oper. Theory 81, No. 1, 113-125 (2015). Reviewer: Andreas Fleige (Dortmund) MSC: 47B50 47A40 47B15 34L10 PDF BibTeX XML Cite \textit{A. Kostenko}, Integral Equations Oper. Theory 81, No. 1, 113--125 (2015; Zbl 1342.47056) Full Text: DOI arXiv OpenURL
Sacchetti, Andrea Existence of the Stark-Wannier quantum resonances. (English) Zbl 1303.81079 J. Math. Phys. 55, No. 12, 122104, 27 p. (2014). MSC: 81Q05 81Q10 81Q35 34L40 82D77 82D25 PDF BibTeX XML Cite \textit{A. Sacchetti}, J. Math. Phys. 55, No. 12, 122104, 27 p. (2014; Zbl 1303.81079) Full Text: DOI arXiv OpenURL
Komech, A.; Kopylova, E. On eigenfunction expansion of solutions to the Hamilton equations. (English) Zbl 1300.34195 J. Stat. Phys. 154, No. 1-2, 503-521 (2014). Reviewer: Zaki El Mehi (Alexandria) MSC: 34L10 83A05 34A30 PDF BibTeX XML Cite \textit{A. Komech} and \textit{E. Kopylova}, J. Stat. Phys. 154, No. 1--2, 503--521 (2014; Zbl 1300.34195) Full Text: DOI arXiv OpenURL
Bothner, Thomas; Its, Alexander Asymptotics of a Fredholm determinant corresponding to the first bulk critical universality class in random matrix models. (English) Zbl 1290.15004 Commun. Math. Phys. 328, No. 1, 155-202 (2014). MSC: 15A15 15A18 15B52 15B57 47A53 34M55 PDF BibTeX XML Cite \textit{T. Bothner} and \textit{A. Its}, Commun. Math. Phys. 328, No. 1, 155--202 (2014; Zbl 1290.15004) Full Text: DOI Link OpenURL
Gournay, A.; Tiedra De Aldecoa, R. Time delay and Calabi invariant in classical scattering theory. (English) Zbl 1259.37039 Rev. Math. Phys. 24, No. 9, Article ID 1250023, 27 p. (2012). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J99 70H99 37N05 34L25 PDF BibTeX XML Cite \textit{A. Gournay} and \textit{R. Tiedra De Aldecoa}, Rev. Math. Phys. 24, No. 9, Article ID 1250023, 27 p. (2012; Zbl 1259.37039) Full Text: DOI arXiv OpenURL
Gesztesy, Fritz; Nichols, Roger Weak convergence of spectral shift functions for one-dimensional Schrödinger operators. (English) Zbl 1263.47026 Math. Nachr. 285, No. 14-15, 1799-1838 (2012). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 47B25 34L05 34L25 34L40 34B24 34B27 47E05 PDF BibTeX XML Cite \textit{F. Gesztesy} and \textit{R. Nichols}, Math. Nachr. 285, No. 14--15, 1799--1838 (2012; Zbl 1263.47026) Full Text: DOI arXiv OpenURL
Naboko, Serguei; Simonov, Sergey Zeroes of the spectral density of the periodic Schrödinger operator with Wigner-von Neumann potential. (English) Zbl 1257.34072 Math. Proc. Camb. Philos. Soc. 153, No. 1, 33-58 (2012). Reviewer: Mihai Pascu (Bucureşti) MSC: 34L40 47A10 47E05 34B20 34L05 PDF BibTeX XML Cite \textit{S. Naboko} and \textit{S. Simonov}, Math. Proc. Camb. Philos. Soc. 153, No. 1, 33--58 (2012; Zbl 1257.34072) Full Text: DOI arXiv OpenURL
Komech, A. I.; Kopylova, E. A.; Spohn, H. Scattering of solitons for Dirac equation coupled to a particle. (English) Zbl 1229.35228 J. Math. Anal. Appl. 383, No. 2, 265-290 (2011). Reviewer: M. Marin (Brasov) MSC: 35Q51 35C08 34L40 37J10 37M15 PDF BibTeX XML Cite \textit{A. I. Komech} et al., J. Math. Anal. Appl. 383, No. 2, 265--290 (2011; Zbl 1229.35228) Full Text: DOI arXiv OpenURL
Fedotov, A. A. Complex WKB method for adiabatic perturbations of a periodic Schrödinger operator. (English. Russian original) Zbl 1237.34148 J. Math. Sci., New York 173, No. 3, 320-339 (2011); translation from Zap. Nauchn. Semin. POMI 379, 142-178 (2010). Reviewer: Khanlar R. Mamedov (Artvin) MSC: 34L40 34M60 47E05 PDF BibTeX XML Cite \textit{A. A. Fedotov}, J. Math. Sci., New York 173, No. 3, 320--339 (2011; Zbl 1237.34148); translation from Zap. Nauchn. Semin. POMI 379, 142--178 (2010) Full Text: DOI OpenURL
Fedotov, A. A. Adiabatic almost-periodic Schrödinger operators. (English. Russian original) Zbl 1237.34147 J. Math. Sci., New York 173, No. 3, 299-319 (2011); translation from Zap. Nauchn. Semin. POMI 379, 103-141 (2010). Reviewer: Khanlar R. Mamedov (Artvin) MSC: 34L40 47E05 PDF BibTeX XML Cite \textit{A. A. Fedotov}, J. Math. Sci., New York 173, No. 3, 299--319 (2011; Zbl 1237.34147); translation from Zap. Nauchn. Semin. POMI 379, 103--141 (2010) Full Text: DOI OpenURL
Buslaev, Vladimir; Pushnitski, Alexander The scattering matrix and associated formulas in Hamiltonian mechanics. (English) Zbl 1218.37072 Commun. Math. Phys. 293, No. 2, 563-588 (2010). Reviewer: Yuri E. Gliklikh (Voronezh) MSC: 37J05 37J10 34L25 35P25 81U20 PDF BibTeX XML Cite \textit{V. Buslaev} and \textit{A. Pushnitski}, Commun. Math. Phys. 293, No. 2, 563--588 (2010; Zbl 1218.37072) Full Text: DOI arXiv OpenURL
Marx, Magali; Najar, Hatem On the singular spectrum for adiabatic quasiperiodic Schrödinger operators. (English) Zbl 1201.81053 Adv. Math. Phys. 2010, Article ID 145436, 30 p. (2010). MSC: 81Q10 34L40 34D08 PDF BibTeX XML Cite \textit{M. Marx} and \textit{H. Najar}, Adv. Math. Phys. 2010, Article ID 145436, 30 p. (2010; Zbl 1201.81053) Full Text: DOI arXiv EuDML OpenURL
Komech, A. I.; Kopylova, E. A. Weighted energy decay for 1D Klein-Gordon equation. (English) Zbl 1190.35134 Commun. Partial Differ. Equations 35, No. 2, 353-374 (2010). Reviewer: Petar Popivanov (Sofia) MSC: 35L10 34L25 47A40 81U05 PDF BibTeX XML Cite \textit{A. I. Komech} and \textit{E. A. Kopylova}, Commun. Partial Differ. Equations 35, No. 2, 353--374 (2010; Zbl 1190.35134) Full Text: DOI OpenURL
Komech, A. I.; Merzon, A. E. Scattering in the nonlinear Lamb system. (English) Zbl 1228.81264 Phys. Lett., A 373, No. 11, 1005-1010 (2009). MSC: 81U30 81Q05 81T30 35Q55 34L25 PDF BibTeX XML Cite \textit{A. I. Komech} and \textit{A. E. Merzon}, Phys. Lett., A 373, No. 11, 1005--1010 (2009; Zbl 1228.81264) Full Text: DOI OpenURL
Pozharskiĭ, A. A. Absolutely continuous spectrum of Stark type operators. (English. Russian original) Zbl 1206.81039 St. Petersbg. Math. J. 20, No. 3, 473-492 (2009); translation from Algebra Anal. 20, No. 3, 197-223 (2008). MSC: 81Q10 34L20 47E05 PDF BibTeX XML Cite \textit{A. A. Pozharskiĭ}, St. Petersbg. Math. J. 20, No. 3, 473--492 (2009; Zbl 1206.81039); translation from Algebra Anal. 20, No. 3, 197--223 (2008) Full Text: DOI OpenURL
Mustafa, Omar; Mazharimousavi, S. Habib \(\eta \)-weak-pseudo-hermiticity generators and radially symmetric Hamiltonians. (English) Zbl 1160.81383 Int. J. Theor. Phys. 47, No. 7, 2029-2037 (2008). MSC: 81Q10 34L40 PDF BibTeX XML Cite \textit{O. Mustafa} and \textit{S. H. Mazharimousavi}, Int. J. Theor. Phys. 47, No. 7, 2029--2037 (2008; Zbl 1160.81383) Full Text: DOI arXiv OpenURL
Goldberg, Michael Transport in the one-dimensional Schrödinger equation. (English) Zbl 1123.35046 Proc. Am. Math. Soc. 135, No. 10, 3171-3179 (2007). MSC: 35Q40 81Q05 34L25 PDF BibTeX XML Cite \textit{M. Goldberg}, Proc. Am. Math. Soc. 135, No. 10, 3171--3179 (2007; Zbl 1123.35046) Full Text: DOI arXiv OpenURL
Chiang, Yik-Man; Ruijsenaars, Simon N. M. On the Nevanlinna order of meromorphic solutions to linear analytic difference equations. (English) Zbl 1145.39300 Stud. Appl. Math. 116, No. 3, 257-287 (2006). MSC: 39A10 30D05 30D35 34M05 PDF BibTeX XML Cite \textit{Y.-M. Chiang} and \textit{S. N. M. Ruijsenaars}, Stud. Appl. Math. 116, No. 3, 257--287 (2006; Zbl 1145.39300) Full Text: DOI OpenURL
Fedotov, Alexander; Klopp, Frédéric Strong resonant tunneling, level repulsion and spectral type for one-dimensional adiabatic quasi-periodic Schrödinger operators. (English) Zbl 1112.47038 Ann. Sci. Éc. Norm. Supér. (4) 38, No. 6, 889-950 (2005). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47E05 34L40 47N50 81Q10 47A10 PDF BibTeX XML Cite \textit{A. Fedotov} and \textit{F. Klopp}, Ann. Sci. Éc. Norm. Supér. (4) 38, No. 6, 889--950 (2005; Zbl 1112.47038) Full Text: DOI Numdam Numdam EuDML OpenURL
Fedotov, Alexander; Klopp, Frédéric On the absolutely continuous spectrum of one-dimensional quasi-periodic Schrödinger operators in the adiabatic limit. (English) Zbl 1101.34069 Trans. Am. Math. Soc. 357, No. 11, 4481-4516 (2005). MSC: 34L40 34E20 34M60 47A10 47E05 81Q05 81Q10 PDF BibTeX XML Cite \textit{A. Fedotov} and \textit{F. Klopp}, Trans. Am. Math. Soc. 357, No. 11, 4481--4516 (2005; Zbl 1101.34069) Full Text: DOI OpenURL
Pozharskiĭ, A. A. On the spectrum of the Wannier-Stark operator. (English. Russian original) Zbl 1071.81041 St. Petersbg. Math. J. 16, No. 3, 561-581 (2005); translation from Algebra Anal. 16, No. 3, 171-200 (2004). Reviewer: Farruh Mukhamedov (Aveiro) MSC: 81Q10 47E05 34L40 PDF BibTeX XML Cite \textit{A. A. Pozharskiĭ}, St. Petersbg. Math. J. 16, No. 3, 561--581 (2005; Zbl 1071.81041); translation from Algebra Anal. 16, No. 3, 171--200 (2004) Full Text: DOI OpenURL
Buslaev, V. S.; Buslaeva, M. V.; Grigis, A. Adiabatic asymptotics of the reflection coefficient. (English. Russian original) Zbl 1084.34026 St. Petersbg. Math. J. 16, No. 3, 437-452 (2005); translation from Algebra Anal. 16, No. 3, 1-23 (2004). Reviewer: Manfred Möller (Johannesburg) MSC: 34B24 34E05 34E20 PDF BibTeX XML Cite \textit{V. S. Buslaev} et al., St. Petersbg. Math. J. 16, No. 3, 437--452 (2005; Zbl 1084.34026); translation from Algebra Anal. 16, No. 3, 1--23 (2004) Full Text: DOI OpenURL
Zinn-Justin, Jean From multi-instantons to exact results. (English) Zbl 1073.81043 Ann. Inst. Fourier 53, No. 4, 1259-1285 (2003). MSC: 81Q20 34E20 34M37 41A60 81S40 PDF BibTeX XML Cite \textit{J. Zinn-Justin}, Ann. Inst. Fourier 53, No. 4, 1259--1285 (2003; Zbl 1073.81043) Full Text: DOI Numdam Numdam EuDML OpenURL
Rybkin, Alexei Necessary and sufficient conditions for absolute summability of the trace formulas for certain one dimensional Schrödinger operators. (English) Zbl 1017.34087 Proc. Am. Math. Soc. 131, No. 1, 219-229 (2003). Reviewer: N.D.Sengupta (Mumbai) MSC: 34L40 47E05 34L25 PDF BibTeX XML Cite \textit{A. Rybkin}, Proc. Am. Math. Soc. 131, No. 1, 219--229 (2003; Zbl 1017.34087) Full Text: DOI OpenURL
Rybkin, Alexei On a complete analysis of high-energy scattering matrix asymptotics for one dimensional Schrödinger operators with integrable potentials. (English) Zbl 0986.34073 Proc. Am. Math. Soc. 130, No. 1, 59-67 (2002). MSC: 34L40 34L25 34L20 PDF BibTeX XML Cite \textit{A. Rybkin}, Proc. Am. Math. Soc. 130, No. 1, 59--67 (2002; Zbl 0986.34073) Full Text: DOI OpenURL
Pozharskij, A. A. A crystal with a singular potential in a homogeneous electric field. (English. Russian original) Zbl 0981.34082 Theor. Math. Phys. 123, No. 1, 524-538 (2000); translation from Teor. Mat. Fiz. 123, No. 1, 132-149 (2000). MSC: 34L40 82D25 PDF BibTeX XML Cite \textit{A. A. Pozharskij}, Theor. Math. Phys. 123, No. 1, 524--538 (2000; Zbl 0981.34082); translation from Teor. Mat. Fiz. 123, No. 1, 132--149 (2000) Full Text: DOI OpenURL
Grinina, E. A. Solutions to the operator equation \(i\varepsilon dy/dt=A(t)y\) on intervals containing turning points. (English. Russian original) Zbl 0964.34039 Theor. Math. Phys. 122, No. 3, 298-311 (2000); translation from Teor. Mat. Fiz. 122, No. 3, 357-371 (2000). Reviewer: N.C.Apreutesei (Iasi) MSC: 34D05 34E20 34G10 34E05 PDF BibTeX XML Cite \textit{E. A. Grinina}, Theor. Math. Phys. 122, No. 3, 357--371 (2000; Zbl 0964.34039); translation from Teor. Mat. Fiz. 122, No. 3, 357--371 (2000) Full Text: DOI OpenURL
Bentosela, F.; Briet, P. Stark resonances for random potentials of Anderson type. (English) Zbl 0955.47044 Ann. Inst. Henri Poincaré, Phys. Théor. 71, No. 5, 497-538 (1999). Reviewer: N.D.Sengupta (Bombay) MSC: 47N50 81V70 34L40 PDF BibTeX XML Cite \textit{F. Bentosela} and \textit{P. Briet}, Ann. Inst. Henri Poincaré, Phys. Théor. 71, No. 5, 497--538 (1999; Zbl 0955.47044) Full Text: Numdam EuDML OpenURL
Buslaev, Vladimir; Grigis, Alain Imagrinary parts of Stark-Wannier resonances. (English) Zbl 1001.34075 J. Math. Phys. 39, No. 5, 2520-2550 (1998). MSC: 34L40 81Q20 34L05 81U05 PDF BibTeX XML Cite \textit{V. Buslaev} and \textit{A. Grigis}, J. Math. Phys. 39, No. 5, 2520--2550 (1998; Zbl 1001.34075) Full Text: DOI OpenURL
Asch, J.; Briet, P. Lower bounds on the width of Stark-Wannier type resonances. (English) Zbl 0851.34078 Commun. Math. Phys. 179, No. 3, 725-735 (1996). MSC: 34L40 81Q05 PDF BibTeX XML Cite \textit{J. Asch} and \textit{P. Briet}, Commun. Math. Phys. 179, No. 3, 725--735 (1996; Zbl 0851.34078) Full Text: DOI OpenURL
Helffer, Bernard; Kerdelhué, Phillippe On the total bandwidth for the rational Harper’s equation. (English) Zbl 0833.34085 Commun. Math. Phys. 173, No. 2, 335-356 (1995). MSC: 34L40 81Q05 PDF BibTeX XML Cite \textit{B. Helffer} and \textit{P. Kerdelhué}, Commun. Math. Phys. 173, No. 2, 335--356 (1995; Zbl 0833.34085) Full Text: DOI OpenURL
Combes, J.-M.; Hislop, P. D. Stark ladder resonances for small electric fields. (English) Zbl 0737.34060 Commun. Math. Phys. 140, No. 2, 291-320 (1991). MSC: 34L40 34C25 PDF BibTeX XML Cite \textit{J. M. Combes} and \textit{P. D. Hislop}, Commun. Math. Phys. 140, No. 2, 291--320 (1991; Zbl 0737.34060) Full Text: DOI OpenURL
Kotlyarov, V. P. Inversion of the Miura transformation. (English. Russian original) Zbl 0702.35222 Math. Notes 46, No. 4, 762-769 (1989); translation from Mat. Zametki 46, No. 4, 14-24 (1989). Reviewer: Y. C. Yang MSC: 35Q53 35A30 37K35 34L25 PDF BibTeX XML Cite \textit{V. P. Kotlyarov}, Math. Notes 46, No. 4, 762--769 (1989; Zbl 0702.35222); translation from Mat. Zametki 46, No. 4, 14--24 (1989) Full Text: DOI OpenURL
Hinton, D. B.; Klaus, M.; Shaw, J. K. Asymptotic phase, asymptotic modulus, and Titchmarsh-Weyl coefficient for a Dirac system. (English) Zbl 0738.34044 J. Math. Anal. Appl. 142, No. 1, 108-129 (1989). MSC: 34L40 34B20 34L25 34A25 PDF BibTeX XML Cite \textit{D. B. Hinton} et al., J. Math. Anal. Appl. 142, No. 1, 108--129 (1989; Zbl 0738.34044) Full Text: DOI OpenURL
Leray, Jean The meaning of Maslov’s asymptotic method: The need of Planck’s constant in mathematics. (English) Zbl 0463.35075 Bull. Am. Math. Soc., New Ser. 5, 15-27 (1981). MSC: 35Q99 34E20 81V45 35A35 70H03 PDF BibTeX XML Cite \textit{J. Leray}, Bull. Am. Math. Soc., New Ser. 5, 15--27 (1981; Zbl 0463.35075) Full Text: DOI OpenURL
Faddeev, L. D. Inverse problem of quantum scattering theory. II. (English) Zbl 0373.35014 J. Sov. Math. 5, 334-396 (1976). MSC: 81U40 81-02 34Lxx 35P25 47A40 PDF BibTeX XML Cite \textit{L. D. Faddeev}, J. Sov. Math. 5, 334--396 (1976; Zbl 0373.35014) Full Text: DOI OpenURL
McKean, H. P.; van Moerbeke, P. The spectrum of Hill’s equation. (English) Zbl 0319.34024 Invent. Math. 30, 217-274 (1975). MSC: 34L99 34B30 33E05 PDF BibTeX XML Cite \textit{H. P. McKean} and \textit{P. van Moerbeke}, Invent. Math. 30, 217--274 (1975; Zbl 0319.34024) Full Text: DOI EuDML OpenURL