Schlag, W. On pointwise decay of waves. (English) Zbl 1467.81039 J. Math. Phys. 62, No. 6, 061509, 27 p. (2021). MSC: 81Q05 81Q35 35B40 83C57 35Q55 35B44 PDF BibTeX XML Cite \textit{W. Schlag}, J. Math. Phys. 62, No. 6, 061509, 27 p. (2021; Zbl 1467.81039) Full Text: DOI arXiv OpenURL
Drouot, Alexis Microlocal analysis of the bulk-edge correspondence. (English) Zbl 1462.81214 Commun. Math. Phys. 383, No. 3, 2069-2112 (2021). MSC: 81V70 35J10 81Q10 82B20 35Q40 82D20 35P05 81Q20 35P20 35S05 46L87 19L10 PDF BibTeX XML Cite \textit{A. Drouot}, Commun. Math. Phys. 383, No. 3, 2069--2112 (2021; Zbl 1462.81214) 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
Fring, Andreas; Tenney, Rebecca Spectrally equivalent time-dependent double wells and unstable anharmonic oscillators. (English) Zbl 1448.81345 Phys. Lett., A 384, No. 21, Article ID 126530, 3 p. (2020). MSC: 81Q65 81Q05 PDF BibTeX XML Cite \textit{A. Fring} and \textit{R. Tenney}, Phys. Lett., A 384, No. 21, Article ID 126530, 3 p. (2020; Zbl 1448.81345) Full Text: DOI arXiv OpenURL
Levin, S. B. Diffraction approach in the scattering problem for three charged quantum particles. (English. Russian original) Zbl 1451.81368 Math. Notes 108, No. 3, 457-461 (2020); translation from Mat. Zametki 108, No. 3, 469-473 (2020). MSC: 81U10 81V10 81U35 35P20 47A40 PDF BibTeX XML Cite \textit{S. B. Levin}, Math. Notes 108, No. 3, 457--461 (2020; Zbl 1451.81368); translation from Mat. Zametki 108, No. 3, 469--473 (2020) 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
Deng, Qingquan; Yao, Xiaohua Asymptotic stability of multi-soliton solutions for nonlinear Schrödinger equations with time-dependent potential. (English) Zbl 1443.81029 J. Math. Phys. 61, No. 4, 041504, 35 p. (2020). MSC: 81Q05 81Q10 35Q55 35Q41 35C08 46E39 93B18 PDF BibTeX XML Cite \textit{Q. Deng} and \textit{X. Yao}, J. Math. Phys. 61, No. 4, 041504, 35 p. (2020; Zbl 1443.81029) Full Text: DOI 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
Baibulov, I. V.; Budylin, A. M.; Levin, S. B. The asymptotics of eigenfunctions of the absolutely continuous spectrum. The scattering problem of three one-dimensional quantum particles. (English. Russian original) Zbl 1435.81230 J. Math. Sci., New York 243, No. 5, 640-655 (2019); translation from Zap. Nauchn. Semin. POMI 471, 15-37 (2018). MSC: 81U10 81U20 PDF BibTeX XML Cite \textit{I. V. Baibulov} et al., J. Math. Sci., New York 243, No. 5, 640--655 (2019; Zbl 1435.81230); translation from Zap. Nauchn. Semin. POMI 471, 15--37 (2018) Full Text: DOI OpenURL
Budylin, A. M.; Koptelov, Ya. Yu.; Levin, S. B. Some aspects of the scattering problem for a system of three charged particles. (English. Russian original) Zbl 1419.81038 J. Math. Sci., New York 238, No. 5, 601-620 (2019); translation from Zap. Nauchn. Semin. POMI 461, 65-94 (2017). MSC: 81U10 81Q10 35P05 70F07 PDF BibTeX XML Cite \textit{A. M. Budylin} et al., J. Math. Sci., New York 238, No. 5, 601--620 (2019; Zbl 1419.81038); translation from Zap. Nauchn. Semin. POMI 461, 65--94 (2017) Full Text: DOI OpenURL
Baibulov, I. V.; Budylin, A. M.; Levin, S. B. On justification of the asymptotics of eigenfunctions of the absolutely continuous spectrum in the problem of three one-dimensional short-range quantum particles with repulsion. (English. Russian original) Zbl 1419.81009 J. Math. Sci., New York 238, No. 5, 566-590 (2019); translation from Zap. Nauchn. Semin. POMI 461, 14-51 (2017). MSC: 81Q05 81U05 47A10 35B40 PDF BibTeX XML Cite \textit{I. V. Baibulov} et al., J. Math. Sci., New York 238, No. 5, 566--590 (2019; Zbl 1419.81009); translation from Zap. Nauchn. Semin. POMI 461, 14--51 (2017) Full Text: DOI 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
Basti, Giulia; Cacciapuoti, Claudio; Finco, Domenico; Teta, Alessandro The three-body problem in dimension one: from short-range to contact interactions. (English) Zbl 1394.81114 J. Math. Phys. 59, No. 7, 072104, 18 p. (2018). MSC: 81Q05 81Q10 70F07 81V70 82D05 PDF BibTeX XML Cite \textit{G. Basti} et al., J. Math. Phys. 59, No. 7, 072104, 18 p. (2018; Zbl 1394.81114) Full Text: DOI arXiv OpenURL
Demirel-Frank, Semra; Shou, Laura Trace formulas for Schrödinger operators on star graphs. (English) Zbl 1387.81222 Bull. Math. Sci. 8, No. 1, 15-31 (2018). MSC: 81Q35 81Q05 81Q10 35J10 PDF BibTeX XML Cite \textit{S. Demirel-Frank} and \textit{L. Shou}, Bull. Math. Sci. 8, No. 1, 15--31 (2018; Zbl 1387.81222) Full Text: DOI arXiv OpenURL
Yafaev, D. R. Passage through a potential barrier and multiple wells. (English) Zbl 06852219 St. Petersbg. Math. J. 29, No. 2, 399-422 (2018) and Algebra Anal. 29, No. 2, 242-273 (2017). MSC: 47A40 81U05 PDF BibTeX XML Cite \textit{D. R. Yafaev}, St. Petersbg. Math. J. 29, No. 2, 399--422 (2018; Zbl 06852219) Full Text: DOI arXiv OpenURL
Takhtajan, Leon A.; Alekseev, Anton Yu.; Aref’eva, Irina Ya.; Semenov-Tian-Shansky, Michael A.; Sklyanin, Evgeny K.; Smirnov, Fedor A.; Shatashvili, Samson L. Scientific heritage of L. D. Faddeev. Survey of papers. (English. Russian original) Zbl 1396.81008 Russ. Math. Surv. 72, No. 6, 977-1081 (2017); translation from Usp. Mat. Nauk 72, No. 6, xx (2017). MSC: 81-03 01A60 01A70 16T25 17B37 35J10 35P25 35Q53 35Q55 37K15 58B32 58J52 70S15 81R50 81S40 81T10 81T13 81T50 81T70 81U40 82B23 82C23 PDF BibTeX XML Cite \textit{L. A. Takhtajan} et al., Russ. Math. Surv. 72, No. 6, 977--1081 (2017; Zbl 1396.81008); translation from Usp. Mat. Nauk 72, No. 6, xx (2017) Full Text: DOI OpenURL
Budylin, A. M.; Levin, S. B. To the question on the resolvent kernel asymptotics in the three-body scattering problem. (English. Russian original) Zbl 1386.81142 J. Math. Sci., New York 224, No. 1, 63-68 (2017); translation from Zap. Nauchn. Semin. POMI 438, 95-103 (2015). MSC: 81U10 81Q05 70F07 47A10 PDF BibTeX XML Cite \textit{A. M. Budylin} and \textit{S. B. Levin}, J. Math. Sci., New York 224, No. 1, 63--68 (2017; Zbl 1386.81142); translation from Zap. Nauchn. Semin. POMI 438, 95--103 (2015) Full Text: DOI OpenURL
Levin, S. B. On the asymptotic behavior of eigenfunctions of the continuous spectrum at infinity in configuration space for the system of three three-dimensional like-charged quantum particles. (English. Russian original) Zbl 1380.81121 J. Math. Sci., New York 226, No. 6, 744-767 (2017); translation from Zap. Nauchn. Semin. POMI 451, 79-115 (2016). MSC: 81Q10 35J10 35P20 70F07 PDF BibTeX XML Cite \textit{S. B. Levin}, J. Math. Sci., New York 226, No. 6, 744--767 (2017; Zbl 1380.81121); translation from Zap. Nauchn. Semin. POMI 451, 79--115 (2016) Full Text: DOI OpenURL
Gradusov, V. A.; Yakovlev, S. L. Perturbation theory in the scattering problem for a three-particle system. (English. Russian original) Zbl 1369.81097 Theor. Math. Phys. 191, No. 1, 524-536 (2017); translation from Teor. Mat. Fiz. 191, No. 1, 63-77 (2017). MSC: 81U10 81Q15 81Q05 PDF BibTeX XML Cite \textit{V. A. Gradusov} and \textit{S. L. Yakovlev}, Theor. Math. Phys. 191, No. 1, 524--536 (2017; Zbl 1369.81097); translation from Teor. Mat. Fiz. 191, No. 1, 63--77 (2017) Full Text: DOI 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
Krueger, August J.; Soffer, Avy Dynamics of noncommutative solitons. I: Spectral theory and dispersive estimates. (English) Zbl 1345.81067 Ann. Henri Poincaré 17, No. 5, 1181-1208 (2016). Reviewer: Walter Freyn (Augsburg) MSC: 81R60 81Q05 35Q55 35C08 PDF BibTeX XML Cite \textit{A. J. Krueger} and \textit{A. Soffer}, Ann. Henri Poincaré 17, No. 5, 1181--1208 (2016; Zbl 1345.81067) Full Text: DOI arXiv OpenURL
Anjos, R. C.; Freitas, G. B.; Coimbra-Araújo, C. H. Analytical solutions of the Fokker-Planck equation for generalized Morse and Hulthén potentials. (English) Zbl 1334.35350 J. Stat. Phys. 162, No. 2, 387-396 (2016). MSC: 35Q84 82C31 81Q05 PDF BibTeX XML Cite \textit{R. C. Anjos} et al., J. Stat. Phys. 162, No. 2, 387--396 (2016; Zbl 1334.35350) Full Text: DOI OpenURL
Kostenko, Aleksey; Teschl, Gerald Dispersion estimates for the discrete Laguerre operator. (English) Zbl 1334.35265 Lett. Math. Phys. 106, No. 4, 545-555 (2016). MSC: 35Q41 47B36 81U30 81Q05 PDF BibTeX XML Cite \textit{A. Kostenko} and \textit{G. Teschl}, Lett. Math. Phys. 106, No. 4, 545--555 (2016; Zbl 1334.35265) 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
Znojil, Miloslav (ed.) Special issue “Pseudo-Hermitian Hamiltonians in quantum physics in 2014”. (English) Zbl 1328.00124 Int. J. Theor. Phys. 54, No. 11, 3867-3870 (2015). MSC: 00B15 81Q12 81-06 PDF BibTeX XML Cite \textit{M. Znojil} (ed.), Int. J. Theor. Phys. 54, No. 11, 3867--3870 (2015; Zbl 1328.00124) Full Text: DOI OpenURL
Giachetti, Riccardo; Grecchi, Vincenzo Localization of the states of a \(PT\)-symmetric double well. (English) Zbl 1329.81168 Int. J. Theor. Phys. 54, No. 11, 3889-3899 (2015). MSC: 81Q05 81R05 PDF BibTeX XML Cite \textit{R. Giachetti} and \textit{V. Grecchi}, Int. J. Theor. Phys. 54, No. 11, 3889--3899 (2015; Zbl 1329.81168) Full Text: DOI arXiv OpenURL
Fernández, Francisco M.; Garcia, Javier; Semorádová, Iveta; Znojil, Miloslav Ad hoc physical Hilbert spaces in quantum mechanics. (English) Zbl 1329.81046 Int. J. Theor. Phys. 54, No. 12, 4187-4203 (2015). MSC: 81P05 PDF BibTeX XML Cite \textit{F. M. Fernández} et al., Int. J. Theor. Phys. 54, No. 12, 4187--4203 (2015; Zbl 1329.81046) Full Text: DOI arXiv Link OpenURL
Iftimie, Viorel; Purice, Radu The Peierls-Onsager effective Hamiltonian in a complete gauge covariant setting: determining the spectrum. (English) Zbl 1329.35367 J. Spectr. Theory 5, No. 3, 445-531 (2015). Reviewer: Mihai Pascu (Bucureşti) MSC: 35S05 81Q10 81Q15 47G30 35Q40 PDF BibTeX XML Cite \textit{V. Iftimie} and \textit{R. Purice}, J. Spectr. Theory 5, No. 3, 445--531 (2015; Zbl 1329.35367) Full Text: DOI arXiv OpenURL
Krefl, Daniel Non-perturbative quantum geometry. (English) Zbl 1333.81346 J. High Energy Phys. 2014, No. 2, Paper No. 084, 16 p. (2014). MSC: 81T30 PDF BibTeX XML Cite \textit{D. Krefl}, J. High Energy Phys. 2014, No. 2, Paper No. 084, 16 p. (2014; Zbl 1333.81346) Full Text: DOI arXiv OpenURL
Znojil, Miloslav The large-\(g\) observability of the low-lying energies in the strongly singular potentials \(V(x)=x^2+g^2/x^6\) after their \(\mathcal PT\)-symmetric regularization. (English) Zbl 1308.81085 Int. J. Theor. Phys. 53, No. 8, 2549-2557 (2014). MSC: 81Q05 PDF BibTeX XML Cite \textit{M. Znojil}, Int. J. Theor. Phys. 53, No. 8, 2549--2557 (2014; Zbl 1308.81085) 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
Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego; Teta, Alessandro The NLS equation in dimension one with spatially concentrated nonlinearities: the pointlike limit. (English) Zbl 1303.81072 Lett. Math. Phys. 104, No. 12, 1557-1570 (2014). MSC: 81Q05 35B25 35B35 35Q55 PDF BibTeX XML Cite \textit{C. Cacciapuoti} et al., Lett. Math. Phys. 104, No. 12, 1557--1570 (2014; Zbl 1303.81072) Full Text: DOI arXiv OpenURL
Faddeev, L. D. Examples of Hamiltonian structures in the theory of integrable models, and their quantization. (English. Russian original) Zbl 1303.81099 St. Petersbg. Math. J. 25, No. 2, 295-302 (2014); translation from Algebra Anal. 25, No. 2, 193-202 (2013). MSC: 81S05 37K10 70H05 17B68 81R12 PDF BibTeX XML Cite \textit{L. D. Faddeev}, St. Petersbg. Math. J. 25, No. 2, 295--302 (2014; Zbl 1303.81099); translation from Algebra Anal. 25, No. 2, 193--202 (2013) Full Text: DOI OpenURL
Znojil, Miloslav The Coulomb potential and the paradoxes of PT symmetrization. (English) Zbl 1360.81163 J. Eng. Math. 82, 173-185 (2013). MSC: 81Q12 PDF BibTeX XML Cite \textit{M. Znojil}, J. Eng. Math. 82, 173--185 (2013; Zbl 1360.81163) Full Text: DOI arXiv OpenURL
Znojil, M.; Geyer, H. B. Smeared quantum lattices exhibiting \(\mathscr{PT}\)-symmetry with positive \(\mathscr{P}\). (English) Zbl 1338.81426 Fortschr. Phys. 61, No. 2-3, 111-123 (2013). MSC: 81V55 82D25 81V70 81R05 81Q12 46C05 81Q80 42C10 PDF BibTeX XML Cite \textit{M. Znojil} and \textit{H. B. Geyer}, Fortschr. Phys. 61, No. 2--3, 111--123 (2013; Zbl 1338.81426) Full Text: DOI arXiv OpenURL
Imaykin, V. M. Soliton asymptotics for systems of ‘field-particle’ type. (English. Russian original) Zbl 1307.35288 Russ. Math. Surv. 68, No. 2, 227-281 (2013); translation from Usp. Mat. Nauk. 68, No. 2, 33-90 (2013). MSC: 35Q60 35Q61 78A35 81U99 37K40 PDF BibTeX XML Cite \textit{V. M. Imaykin}, Russ. Math. Surv. 68, No. 2, 227--281 (2013; Zbl 1307.35288); translation from Usp. Mat. Nauk. 68, No. 2, 33--90 (2013) Full Text: DOI OpenURL
Grecchi, Vincenzo; Martinez, André The spectrum of the cubic oscillator. (English) Zbl 1268.81073 Commun. Math. Phys. 319, No. 2, 479-500 (2013). MSC: 81Q10 81Q05 81Q15 41A21 PDF BibTeX XML Cite \textit{V. Grecchi} and \textit{A. Martinez}, Commun. Math. Phys. 319, No. 2, 479--500 (2013; Zbl 1268.81073) Full Text: DOI arXiv OpenURL
Buslaev, V. S.; Levin, S. B. A system of three three-dimensional charged quantum particles: asymptotic behavior of the eigenfunctions of the continuous spectrum at infinity. (English. Russian original) Zbl 1272.81185 Funct. Anal. Appl. 46, No. 2, 147-151 (2012); translation from Funkts. Anal. Prilozh. 46, No. 2, 83-88 (2012). MSC: 81U10 81Q10 35P20 35P25 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{S. B. Levin}, Funct. Anal. Appl. 46, No. 2, 147--151 (2012; Zbl 1272.81185); translation from Funkts. Anal. Prilozh. 46, No. 2, 83--88 (2012) Full Text: DOI arXiv OpenURL
Nakanishi, Kenji; Van Phan, Tuoc; Tsai, Tai-Peng Small solutions of nonlinear Schrödinger equations near first excited states. (English) Zbl 1244.35136 J. Funct. Anal. 263, No. 3, 703-781 (2012). MSC: 35Q55 81Q05 35P05 PDF BibTeX XML Cite \textit{K. Nakanishi} et al., J. Funct. Anal. 263, No. 3, 703--781 (2012; Zbl 1244.35136) Full Text: DOI arXiv OpenURL
Borovyk, Vita; Makarov, Konstantin A. On the weak and ergodic limit of the spectral shift function. (English) Zbl 1243.81077 Lett. Math. Phys. 100, No. 1, 1-15 (2012). MSC: 81Q10 35P20 47N50 81U30 35J10 PDF BibTeX XML Cite \textit{V. Borovyk} and \textit{K. A. Makarov}, Lett. Math. Phys. 100, No. 1, 1--15 (2012; Zbl 1243.81077) Full Text: DOI arXiv OpenURL
Isozaki, Hiroshi; Korotyaev, Evgeny Inverse problems, trace formulae for discrete Schrödinger operators. (English) Zbl 1250.81124 Ann. Henri Poincaré 13, No. 4, 751-788 (2012). MSC: 81U40 81Q05 81Q10 65N22 PDF BibTeX XML Cite \textit{H. Isozaki} and \textit{E. Korotyaev}, Ann. Henri Poincaré 13, No. 4, 751--788 (2012; Zbl 1250.81124) Full Text: DOI arXiv Link OpenURL
Beceanu, Marius A critical center-stable manifold for Schrödinger’s equation in three dimensions. (English) Zbl 1234.35240 Commun. Pure Appl. Math. 65, No. 4, 431-507 (2012). MSC: 35Q55 35C08 35J62 81Q05 PDF BibTeX XML Cite \textit{M. Beceanu}, Commun. Pure Appl. Math. 65, No. 4, 431--507 (2012; Zbl 1234.35240) Full Text: DOI arXiv OpenURL
Dimassi, Mouez Resonances for perturbed periodic Schrödinger operator. (English) Zbl 1236.81082 Adv. Math. Phys. 2012, Article ID 309398, 12 p. (2012). MSC: 81Q05 49S05 35B34 81Q15 PDF BibTeX XML Cite \textit{M. Dimassi}, Adv. Math. Phys. 2012, Article ID 309398, 12 p. (2012; Zbl 1236.81082) Full Text: DOI OpenURL
Asad, R.; Simpson, G. Embedded eigenvalues and the nonlinear Schrödinger equation. (English) Zbl 1315.35195 J. Math. Phys. 52, No. 3, 033511, 26 p. (2011). MSC: 35Q55 35B40 35B35 35C08 35P30 81T80 81T08 PDF BibTeX XML Cite \textit{R. Asad} and \textit{G. Simpson}, J. Math. Phys. 52, No. 3, 033511, 26 p. (2011; Zbl 1315.35195) Full Text: DOI arXiv OpenURL
Egorova, Iryna; Teschl, Gerald On the Cauchy problem for the Korteweg-de Vries equation with steplike finite-gap initial data. II: Perturbations with finite moments. (English) Zbl 1314.35136 J. Anal. Math. 115, 71-101 (2011). MSC: 35Q53 35B15 37K15 37K20 81U40 PDF BibTeX XML Cite \textit{I. Egorova} and \textit{G. Teschl}, J. Anal. Math. 115, 71--101 (2011; Zbl 1314.35136) Full Text: DOI arXiv OpenURL
Demirel, Semra; Usman, Muhammad Trace formulas for Schrödinger operators on the half-line. (English) Zbl 1256.35041 Bull. Math. Sci. 1, No. 2, 397-427 (2011). MSC: 35P25 35Q41 81Q05 PDF BibTeX XML Cite \textit{S. Demirel} and \textit{M. Usman}, Bull. Math. Sci. 1, No. 2, 397--427 (2011; Zbl 1256.35041) Full Text: DOI arXiv OpenURL
Rivers, R. J. Path integrals for quasi-Hermitian Hamiltonians. (English) Zbl 1220.81158 Int. J. Mod. Phys. D 20, No. 5, 919-932 (2011). MSC: 81S40 81Q30 81Q10 PDF BibTeX XML Cite \textit{R. J. Rivers}, Int. J. Mod. Phys. D 20, No. 5, 919--932 (2011; Zbl 1220.81158) Full Text: DOI OpenURL
Buslaev, V. S.; Levin, S. B. Asymptotic behavior of eigenfunctions of the three-particle Schrödinger operator. II: Charged one-dimensional particles. (English. Russian original) Zbl 1219.81235 St. Petersbg. Math. J. 22, No. 3, 379-392 (2011); translation from Algebra Anal. 2010, No. 3, 60-79 (2010). MSC: 81U10 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{S. B. Levin}, St. Petersbg. Math. J. 22, No. 3, 379--392 (2011; Zbl 1219.81235); translation from Algebra Anal. 2010, No. 3, 60--79 (2010) Full Text: DOI OpenURL
Znojil, Miloslav Cryptohermitian Hamiltonians on graphs. II: Hermitizations. (English) Zbl 1251.81041 Int. J. Theor. Phys. 50, No. 5, 1614-1627 (2011). MSC: 81Q12 81Q35 65L06 47B50 PDF BibTeX XML Cite \textit{M. Znojil}, Int. J. Theor. Phys. 50, No. 5, 1614--1627 (2011; Zbl 1251.81041) Full Text: DOI arXiv OpenURL
Znojil, Miloslav; Tater, Miloš \(\mathcal{CPT}\)-symmetric discrete square well. (English) Zbl 1213.81158 Int. J. Theor. Phys. 50, No. 4, 982-990 (2011). MSC: 81S10 PDF BibTeX XML Cite \textit{M. Znojil} and \textit{M. Tater}, Int. J. Theor. Phys. 50, No. 4, 982--990 (2011; Zbl 1213.81158) Full Text: DOI arXiv OpenURL
Rivers, R. J. Path integrals for pseudo-Hermitian Hamiltonians. (English) Zbl 1213.81163 Int. J. Theor. Phys. 50, No. 4, 1081-1096 (2011). MSC: 81S40 PDF BibTeX XML Cite \textit{R. J. Rivers}, Int. J. Theor. Phys. 50, No. 4, 1081--1096 (2011; Zbl 1213.81163) Full Text: DOI OpenURL
Komech, Alexander; Komech, Andrew On global attraction to quantum stationary states. Dirac equation with mean field interaction. (English) Zbl 1211.35053 Commun. Math. Anal. Conference 3, 131-136 (2011). MSC: 35B41 35Q41 37K40 37L30 37N20 81Q05 PDF BibTeX XML Cite \textit{A. Komech} and \textit{A. Komech}, Commun. Math. Anal. Conference 3, 131--136 (2011; Zbl 1211.35053) Full Text: arXiv Euclid 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
Mostafazadeh, Ali Pseudo-Hermitian representation of quantum mechanics. (English) Zbl 1208.81095 Int. J. Geom. Methods Mod. Phys. 7, No. 7, 1191-1306 (2010). Reviewer: Michael Perelmuter (Kyïv) MSC: 81Q12 81Q10 PDF BibTeX XML Cite \textit{A. Mostafazadeh}, Int. J. Geom. Methods Mod. Phys. 7, No. 7, 1191--1306 (2010; Zbl 1208.81095) 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
Kopylova, E. A. On asymptotic stability of solitary waves in discrete Klein-Gordon equation coupled to a nonlinear oscillator. (English) Zbl 1207.39021 Appl. Anal. 89, No. 9, 1467-1492 (2010). Reviewer: Fei Xue (Hartford) MSC: 39A30 39A14 39A12 35Q40 81Q05 37K10 PDF BibTeX XML Cite \textit{E. A. Kopylova}, Appl. Anal. 89, No. 9, 1467--1492 (2010; Zbl 1207.39021) Full Text: DOI OpenURL
Kopylova, E. A.; Komech, A. I. Long time decay for 2D Klein-Gordon equation. (English) Zbl 1192.35151 J. Funct. Anal. 259, No. 2, 477-502 (2010). MSC: 35Q53 35Q40 81Q05 35B40 PDF BibTeX XML Cite \textit{E. A. Kopylova} and \textit{A. I. Komech}, J. Funct. Anal. 259, No. 2, 477--502 (2010; Zbl 1192.35151) Full Text: DOI arXiv OpenURL
Motavalli, Hossein; Rezaei Akbarieh, Amin Exact solutions of the Klein-Gordon equation for the Scarf-type potential via Nikiforov-Uvarov method. (English) Zbl 1190.81042 Int. J. Theor. Phys. 49, No. 5, 979-987 (2010). MSC: 81Q05 81U15 81Q80 PDF BibTeX XML Cite \textit{H. Motavalli} and \textit{A. Rezaei Akbarieh}, Int. J. Theor. Phys. 49, No. 5, 979--987 (2010; Zbl 1190.81042) Full Text: DOI 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, Alexander; Komech, Andrew On global attraction to solitary waves for the Klein-Gordon field coupled to several nonlinear oscillators. (English) Zbl 1180.35124 J. Math. Pures Appl. (9) 93, No. 1, 91-111 (2010). MSC: 35B41 37K40 37L30 37N20 81Q05 35C05 PDF BibTeX XML Cite \textit{A. Komech} and \textit{A. Komech}, J. Math. Pures Appl. (9) 93, No. 1, 91--111 (2010; Zbl 1180.35124) Full Text: DOI arXiv OpenURL
Komech, A. I.; Kopylova, E. A. Weighted energy decay for 3D Klein-Gordon equation. (English) Zbl 1185.35023 J. Differ. Equations 248, No. 3, 501-520 (2010). Reviewer: Yakov Yakubov (Tel-Aviv) MSC: 35B40 35L15 47A40 35J10 81U05 PDF BibTeX XML Cite \textit{A. I. Komech} and \textit{E. A. Kopylova}, J. Differ. Equations 248, No. 3, 501--520 (2010; Zbl 1185.35023) Full Text: DOI arXiv 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
Pozharskii, A. A. Adiabatic asymptotics of reflection coefficients of a quantum electron moving in a two-dimensional waveguide. (English. Russian original) Zbl 1206.81046 J. Math. Sci., New York 156, No. 4, 669-698 (2009); translation from Probl. Mat. Anal. 38, 93-119 (2008). MSC: 81Q37 81U05 82D77 PDF BibTeX XML Cite \textit{A. A. Pozharskii}, J. Math. Sci., New York 156, No. 4, 669--698 (2009; Zbl 1206.81046); translation from Probl. Mat. Anal. 38, 93--119 (2008) Full Text: DOI OpenURL
Kitanine, N.; Kozlowski, K. K.; Maillet, J. M.; Slavnov, N. A.; Terras, V. Riemann-Hilbert approach to a generalised sine kernel and applications. (English) Zbl 1189.45018 Commun. Math. Phys. 291, No. 3, 691-761 (2009). Reviewer: Vincenzo Vespri (Firenze) MSC: 45Q05 47B35 30E25 81R12 45M05 PDF BibTeX XML Cite \textit{N. Kitanine} et al., Commun. Math. Phys. 291, No. 3, 691--761 (2009; Zbl 1189.45018) Full Text: DOI arXiv OpenURL
Kirr, E.; Mızrak, Ö. Asymptotic stability of ground states in 3D nonlinear Schrödinger equation including subcritical cases. (English) Zbl 1187.35238 J. Funct. Anal. 257, No. 12, 3691-3747 (2009). Reviewer: Hideo Yamagata (Osaka) MSC: 35Q55 81Q10 35B35 35B40 PDF BibTeX XML Cite \textit{E. Kirr} and \textit{Ö. Mızrak}, J. Funct. Anal. 257, No. 12, 3691--3747 (2009; Zbl 1187.35238) Full Text: DOI arXiv Link OpenURL
Komech, A. I.; Merzon, A. E. On asymptotic completeness for scattering in the nonlinear Lamb system. (English) Zbl 1202.81200 J. Math. Phys. 50, No. 2, 023514, 10 p. (2009). MSC: 81U05 35P25 PDF BibTeX XML Cite \textit{A. I. Komech} and \textit{A. E. Merzon}, J. Math. Phys. 50, No. 2, 023514, 10 p. (2009; Zbl 1202.81200) Full Text: DOI Link OpenURL
Squassina, Marco Soliton dynamics for the nonlinear Schrödinger equation with magnetic field. (English) Zbl 1179.81066 Manuscr. Math. 130, No. 4, 461-494 (2009). MSC: 81Q05 35Q40 35Q51 35Q55 37K40 37K45 PDF BibTeX XML Cite \textit{M. Squassina}, Manuscr. Math. 130, No. 4, 461--494 (2009; Zbl 1179.81066) Full Text: DOI arXiv OpenURL
Mustafa, Omar; Mazharimousavi, S. Habib Spherical-separability of non-Hermitian Hamiltonians and pseudo-\(\mathcal{PT}\)-symmetry. (English) Zbl 1161.81364 Int. J. Theor. Phys. 48, No. 1, 183-193 (2009). MSC: 81Q10 PDF BibTeX XML Cite \textit{O. Mustafa} and \textit{S. H. Mazharimousavi}, Int. J. Theor. Phys. 48, No. 1, 183--193 (2009; Zbl 1161.81364) Full Text: DOI arXiv 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
Boutet De Monvel, Anne; Egorova, Iryna; Teschl, Gerald Inverse scattering theory for one-dimensional Schrödinger operators with steplike finite-gap potentials. (English) Zbl 1175.47009 J. Anal. Math. 106, 271-316 (2008). Reviewer: Lluís Miquel García Raffi (València) MSC: 47A40 81U40 35Q53 PDF BibTeX XML Cite \textit{A. Boutet De Monvel} et al., J. Anal. Math. 106, 271--316 (2008; Zbl 1175.47009) Full Text: DOI arXiv OpenURL
Cuccagna, Scipio; Mizumachi, Tetsu On asymptotic stability in energy space of ground states for nonlinear Schrödinger equations. (English) Zbl 1155.35092 Commun. Math. Phys. 284, No. 1, 51-77 (2008). MSC: 35Q55 35B35 35B40 81Q05 PDF BibTeX XML Cite \textit{S. Cuccagna} and \textit{T. Mizumachi}, Commun. Math. Phys. 284, No. 1, 51--77 (2008; Zbl 1155.35092) Full Text: DOI arXiv Link OpenURL
Yeşiltaş, Özlem; Sever, Ramazan Exponential type complex and non-Hermitian potentials within quantum Hamilton-Jacobi formalism. (English) Zbl 1151.81334 J. Math. Chem. 43, No. 3, 921-931 (2008). MSC: 81Q05 70H20 PDF BibTeX XML Cite \textit{Ö. Yeşiltaş} and \textit{R. Sever}, J. Math. Chem. 43, No. 3, 921--931 (2008; Zbl 1151.81334) Full Text: DOI arXiv OpenURL
Mustafa, Omar; Mazharimousavi, S. Habib \((1+1)\)-Dirac particle with position-dependent mass in complexified Lorentz scalar interactions: Effectively \(\mathcal{PT}\)-symmetric. (English) Zbl 1140.81363 Int. J. Theor. Phys. 47, No. 4, 1112-1120 (2008). MSC: 81Q05 81Q60 78A35 PDF BibTeX XML Cite \textit{O. Mustafa} and \textit{S. H. Mazharimousavi}, Int. J. Theor. Phys. 47, No. 4, 1112--1120 (2008; Zbl 1140.81363) Full Text: DOI arXiv OpenURL
Mustafa, Omar; Mazharimousavi, S. Habib First-order intertwining operators with position dependent mass and \(\eta\)-weak-pseudo-hermiticity generators. (English) Zbl 1139.81347 Int. J. Theor. Phys. 47, No. 2, 446-454 (2008). MSC: 81Q20 PDF BibTeX XML Cite \textit{O. Mustafa} and \textit{S. H. Mazharimousavi}, Int. J. Theor. Phys. 47, No. 2, 446--454 (2008; Zbl 1139.81347) Full Text: DOI arXiv OpenURL
Zhou, Gang Perturbation expansion and \(N\)th order Fermi golden rule of the nonlinear Schrödinger equations. (English) Zbl 1144.81430 J. Math. Phys. 48, No. 5, 053509, 23 p. (2007). MSC: 47N50 35Q55 81Q15 PDF BibTeX XML Cite \textit{G. Zhou}, J. Math. Phys. 48, No. 5, 053509, 23 p. (2007; Zbl 1144.81430) Full Text: DOI OpenURL
Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen Scattering theory for open quantum systems with finite rank coupling. (English) Zbl 1144.81480 Math. Phys. Anal. Geom. 10, No. 4, 313-358 (2007). MSC: 81S25 81U99 47A40 47A55 47B25 PDF BibTeX XML Cite \textit{J. Behrndt} et al., Math. Phys. Anal. Geom. 10, No. 4, 313--358 (2007; Zbl 1144.81480) Full Text: DOI Link OpenURL
Kirr, E.; Zarnescu, A. On the asymptotic stability of bound states in 2D cubic Schrödinger equation. (English) Zbl 1194.35416 Commun. Math. Phys. 272, No. 2, 443-468 (2007). Reviewer: Heinz Siedentop (München) MSC: 35Q55 35B35 81Q05 35B41 37L30 PDF BibTeX XML Cite \textit{E. Kirr} and \textit{A. Zarnescu}, Commun. Math. Phys. 272, No. 2, 443--468 (2007; Zbl 1194.35416) Full Text: DOI arXiv OpenURL
Gang, Zhou; Sigal, I. M. Relaxation of solitons in nonlinear Schrödinger equations with potential. (English) Zbl 1126.35065 Adv. Math. 216, No. 2, 443-490 (2007). MSC: 35Q55 37K45 81R12 PDF BibTeX XML Cite \textit{Z. Gang} and \textit{I. M. Sigal}, Adv. Math. 216, No. 2, 443--490 (2007; Zbl 1126.35065) 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
Komech, Alexander; Komech, Andrew Global attractor for a nonlinear oscillator coupled to the Klein-Gordon field. (English) Zbl 1131.35003 Arch. Ration. Mech. Anal. 185, No. 1, 105-142 (2007). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35B41 35Q40 81T10 37L30 35B40 37K40 PDF BibTeX XML Cite \textit{A. Komech} and \textit{A. Komech}, Arch. Ration. Mech. Anal. 185, No. 1, 105--142 (2007; Zbl 1131.35003) Full Text: DOI arXiv OpenURL
Ioffe, M. V.; Cannata, F.; Nishnianidze, D. N. Exactly solvable two-dimensional complex model with a real spectrum. (English) Zbl 1177.81051 Theor. Math. Phys. 148, No. 1, 960-967 (2006); translation from Teor. Mat. Fiz. 148, No. 1, 102-111 (2006). MSC: 81Q60 PDF BibTeX XML Cite \textit{M. V. Ioffe} et al., Theor. Math. Phys. 148, No. 1, 960--967 (2006; Zbl 1177.81051); translation from Teor. Mat. Fiz. 148, No. 1, 102--111 (2006) Full Text: DOI arXiv OpenURL
Erdoğan, M. Burak; Schlag, Wilhelm Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three. II. (English) Zbl 1146.35324 J. Anal. Math. 99, 199-248 (2006). MSC: 35B45 47D06 35Q40 81Q10 PDF BibTeX XML Cite \textit{M. B. Erdoğan} and \textit{W. Schlag}, J. Anal. Math. 99, 199--248 (2006; Zbl 1146.35324) Full Text: DOI arXiv OpenURL
Boussaid, Nabile Stable directions for small nonlinear Dirac standing waves. (English) Zbl 1127.35060 Commun. Math. Phys. 268, No. 3, 757-817 (2006). MSC: 35Q55 37K45 81Q05 35P25 PDF BibTeX XML Cite \textit{N. Boussaid}, Commun. Math. Phys. 268, No. 3, 757--817 (2006; Zbl 1127.35060) Full Text: DOI arXiv OpenURL
Imaikin, Valery; Komech, Alexander; Vainberg, Boris On scattering of solitons for the Klein-Gordon equation coupled to a particle. (English) Zbl 1127.35054 Commun. Math. Phys. 268, No. 2, 321-367 (2006). MSC: 35Q40 81U05 37K40 35P25 35Q51 35L70 PDF BibTeX XML Cite \textit{V. Imaikin} et al., Commun. Math. Phys. 268, No. 2, 321--367 (2006; Zbl 1127.35054) Full Text: DOI arXiv OpenURL
Dimassi, M.; Guillot, J.-C.; Ralston, J. Gaussian beam construction for adiabatic perturbations. (English) Zbl 1119.35071 Math. Phys. Anal. Geom. 9, No. 3, 187-201 (2006). MSC: 35Q40 81Q15 35P20 PDF BibTeX XML Cite \textit{M. Dimassi} et al., Math. Phys. Anal. Geom. 9, No. 3, 187--201 (2006; Zbl 1119.35071) Full Text: DOI OpenURL
Bender, Carl M. Parity anomaly in a \(\mathcal{PT}\)-symmetric quartic Hamiltonian. (English) Zbl 1110.81064 Czech. J. Phys. 56, No. 9, 1017-1062 (2006). MSC: 81Q05 81Q10 PDF BibTeX XML Cite \textit{C. M. Bender}, Czech. J. Phys. 56, No. 9, 1017--1062 (2006; Zbl 1110.81064) Full Text: DOI OpenURL
Jakubský, Vít; Smejkal, Jaroslav A positive-definite scalar product for free Proca particle. (English) Zbl 1117.81045 Czech. J. Phys. 56, No. 9, 985-997 (2006). MSC: 81Q05 PDF BibTeX XML Cite \textit{V. Jakubský} and \textit{J. Smejkal}, Czech. J. Phys. 56, No. 9, 985--997 (2006; Zbl 1117.81045) Full Text: DOI arXiv OpenURL
Mustafa, Omar; Mazharimousavi, S. Habib Non-Hermitian \(d\)-dimensional Hamiltonians with position-dependent mass and their \(\eta\)-pseudo-Hermiticity generators. (English) Zbl 1110.81087 Czech. J. Phys. 56, No. 9, 967-975 (2006). MSC: 81Q50 81Q10 17B37 PDF BibTeX XML Cite \textit{O. Mustafa} and \textit{S. H. Mazharimousavi}, Czech. J. Phys. 56, No. 9, 967--975 (2006; Zbl 1110.81087) Full Text: DOI arXiv OpenURL
Jones, H. F. On an equivalent Hermitian Hamiltonian for the wrong-sign quartic potential. (English) Zbl 1118.81025 Czech. J. Phys. 56, No. 9, 909-917 (2006). MSC: 81Q05 PDF BibTeX XML Cite \textit{H. F. Jones}, Czech. J. Phys. 56, No. 9, 909--917 (2006; Zbl 1118.81025) Full Text: DOI OpenURL
Komech, A.; Kopylova, E. Scattering of solitons for the Schrödinger equation coupled to a particle. (English) Zbl 1118.35040 Russ. J. Math. Phys. 13, No. 2, 158-187 (2006). Reviewer: Wuquing Ning (Tokyo) MSC: 35Q40 81Q05 81U15 35Q51 37K40 PDF BibTeX XML Cite \textit{A. Komech} and \textit{E. Kopylova}, Russ. J. Math. Phys. 13, No. 2, 158--187 (2006; Zbl 1118.35040) Full Text: DOI arXiv OpenURL
Belov, V. V.; Dobrokhotov, S. Yu.; Tudorovskiy, T. Ya. Operator separation of variables for adiabatic problems in quantum and wave mechanics. (English) Zbl 1110.81080 J. Eng. Math. 55, No. 1-4, 183-237 (2006). MSC: 81Q20 82D20 53D12 70H11 PDF BibTeX XML Cite \textit{V. V. Belov} et al., J. Eng. Math. 55, No. 1--4, 183--237 (2006; Zbl 1110.81080) Full Text: DOI arXiv OpenURL
Bagchi, B.; Mallik, S.; Bíla, H.; Jakubský, V.; Znojil, M.; Quesne, C. \({\mathcal{PT}}\)-symmetric supersymmetry in a solvable short-range model. (English) Zbl 1095.81028 Int. J. Mod. Phys. A 21, No. 10, 2173-2190 (2006). MSC: 81Q60 81U15 PDF BibTeX XML Cite \textit{B. Bagchi} et al., Int. J. Mod. Phys. A 21, No. 10, 2173--2190 (2006; Zbl 1095.81028) Full Text: DOI arXiv 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
Faridfathi, Gholamreza; Sever, Ramazan; Aktaş, Metin Supersymmetric solutions of \({\mathcal PT}\)-/non-\({\mathcal PT}\)-symmetric and non-Hermitian central potentials via Hamiltonian hierarchy method. (English) Zbl 1100.81028 J. Math. Chem. 38, No. 4, 533-540 (2005). MSC: 81Q60 82B30 81Q05 81V55 PDF BibTeX XML Cite \textit{G. Faridfathi} et al., J. Math. Chem. 38, No. 4, 533--540 (2005; Zbl 1100.81028) Full Text: DOI OpenURL
Bagchi, Bijan; Banerjee, A.; Caliceti, Emanuela; Cannata, Francesco; Geyer, Hendrik B.; Quesne, Christiane; Znojil, Miloslav \({\mathcal{CPT}}\)-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators \({\mathcal C}\). (English) Zbl 1091.81023 Int. J. Mod. Phys. A 20, No. 30, 7107-7128 (2005). MSC: 81Q10 47A10 81Q60 PDF BibTeX XML Cite \textit{B. Bagchi} et al., Int. J. Mod. Phys. A 20, No. 30, 7107--7128 (2005; Zbl 1091.81023) Full Text: DOI arXiv OpenURL
Banerjee, Abhijit A perturbative treatment of a generalized \(\mathcal{PT}\)-symmetric quartic anharmonic oscillator. (English) Zbl 1086.81507 Mod. Phys. Lett. A 20, No. 39, 3013-3023 (2005). MSC: 81Q05 81Q15 PDF BibTeX XML Cite \textit{A. Banerjee}, Mod. Phys. Lett. A 20, No. 39, 3013--3023 (2005; Zbl 1086.81507) Full Text: DOI arXiv 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