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Found 438 Documents (Results 1–100)

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Klopp, F.; Fedotov, A. A.
On the hierarchical behavior of solutions of the Maryland equation in the semiclassical approximation. (English. Russian original) Zbl 07289087
Math. Notes 108, No. 6, 906-910 (2020); translation from Mat. Zametki 108, No. 6, 941-946 (2020).
MSC:  81Q05 39A12 39A06 37C55 93A13
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\textit{F. Klopp} and \textit{A. A. Fedotov}, Math. Notes 108, No. 6, 906--910 (2020; Zbl 07289087); translation from Mat. Zametki 108, No. 6, 941--946 (2020)
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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 07283649
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
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\textit{A. Yu. Anikin} et al., Theor. Math. Phys. 204, No. 2, 984--992 (2020; Zbl 07283649); translation from Teor. Mat. Fiz. 204, No. 2, 171--180 (2020)
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Fedotov, A.; Shchetka, E.
The spectrum and density of states of the almost Mathieu operator with frequency represented by a continued fraction with large elements. (English. Russian original) Zbl 07215619
Math. Notes 107, No. 6, 1040-1045 (2020); translation from Mat. Zametki 107, No. 6, 648-953 (2020).
MSC:  47B 47A
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\textit{A. Fedotov} and \textit{E. Shchetka}, Math. Notes 107, No. 6, 1040--1045 (2020; Zbl 07215619); translation from Mat. Zametki 107, No. 6, 648--953 (2020)
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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
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\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)
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Lerma-Hernández, Sergio; Chávez-Carlos, Jorge; Bastarrachea-Magnani, Miguel A.; Santos, Lea F.; Hirsch, Jorge G.
Analytical description of the survival probability of coherent states in regular regimes. (English) Zbl 1411.82049
J. Phys. A, Math. Theor. 51, No. 47, Article ID 475302, 29 p. (2018).
MSC:  82D35 82D40 81Q20 81R30 82C31 62N86
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\textit{S. Lerma-Hernández} et al., J. Phys. A, Math. Theor. 51, No. 47, Article ID 475302, 29 p. (2018; Zbl 1411.82049)
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Karaeva, D. A.; Karaev, A. D.; Nazaikinskii, V. E.
Homogenization method in the problem of long wave propagation from a localized source in a basin over an uneven bottom. (English. Russian original) Zbl 1418.76043
Differ. Equ. 54, No. 8, 1057-1072 (2018); translation from Differ. Uravn. 54, No. 8, 1075-1089 (2018).
Reviewer: Piotr Biler (Wrocław)
MSC:  76M50 76B15 76M45
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\textit{D. A. Karaeva} et al., Differ. Equ. 54, No. 8, 1057--1072 (2018; Zbl 1418.76043); translation from Differ. Uravn. 54, No. 8, 1075--1089 (2018)
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Pereskokov, A. V.
Semiclassical asymptotics of the spectrum near the lower boundary of spectral clusters for a Hartree-type operator. (English. Russian original) Zbl 1371.81116
Math. Notes 101, No. 6, 1009-1022 (2017); translation from Mat. Zametki 101, No. 6, 894-910 (2017).
MSC:  81Q10 34L05 35Q55 81Q20 34E20 34B40
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\textit{A. V. Pereskokov}, Math. Notes 101, No. 6, 1009--1022 (2017; Zbl 1371.81116); translation from Mat. Zametki 101, No. 6, 894--910 (2017)
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Hnatich, M.; Khmara, Viktor M.; Lazur, Volodymyr Yu.; Reity, Oleksandr K.
The WKB method for the quantum mechanical two-Coulomb-center problem. (English. Russian original) Zbl 1369.81034
Theor. Math. Phys. 190, No. 3, 345-358 (2017); translation from Teor. Mat. Fiz. 190, No. 3, 403-418 (2017).
MSC:  81Q20 81V35
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\textit{M. Hnatich} et al., Theor. Math. Phys. 190, No. 3, 345--358 (2017; Zbl 1369.81034); translation from Teor. Mat. Fiz. 190, No. 3, 403--418 (2017)
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Raymond, Nicolas
Bound states of the magnetic Schrödinger operator. (English) Zbl 1370.35004
EMS Tracts in Mathematics 27. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-169-9/hbk; 978-3-03719-669-4/ebook). xiv, 380 p. (2017).
Reviewer: Aleksander Pankov (Baltimore)
MSC:  35-02 35P15 35P20 81Q10 81Q20 49R05 35Q60
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\textit{N. Raymond}, Bound states of the magnetic Schrödinger operator. Zürich: European Mathematical Society (EMS) (2017; Zbl 1370.35004)
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Brüning, J.; Dobrokhotov, S. Yu.; Katsnelson, M. I.; Minenkov, D. S.
Semiclassical asymptotic approximations and the density of states for the two-dimensional radially symmetric Schrödinger and Dirac equations in tunnel microscopy problems. (English. Russian original) Zbl 1338.81182
Theor. Math. Phys. 186, No. 3, 333-345 (2016); translation from Teor. Mat. Fiz. 186, No. 3, 386-400 (2016).
MSC:  81Q05 81Q20
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\textit{J. Brüning} et al., Theor. Math. Phys. 186, No. 3, 333--345 (2016; Zbl 1338.81182); translation from Teor. Mat. Fiz. 186, No. 3, 386--400 (2016)
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Dittrich, Walter; Reuter, Martin
Classical and quantum dynamics. From classical paths to path integrals. 4th ed. (English) Zbl 1330.81001
Graduate Texts in Physics. Cham: Springer (ISBN 978-3-319-21676-8/hbk; 978-3-319-21677-5/ebook). xii, 461 p. (2016).
Reviewer: Gert Roepstorff (Aachen)
MSC:  81-01 81P05 81S40 81Q20 81Q70 70H05 70S05 78A25 00A79
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\textit{W. Dittrich} and \textit{M. Reuter}, Classical and quantum dynamics. From classical paths to path integrals. 4th ed. Cham: Springer (2016; Zbl 1330.81001)
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Markov, Yu. A.; Markova, M. A.
WKB approxiation of the Dirac equation with a supersymmetric extension. (English. Russian original) Zbl 1332.81064
Russ. Phys. J. 58, No. 8, 1151-1159 (2015); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 58, No. 8, 105-111 (2015).
MSC:  81Q20 81Q05 81Q60
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\textit{Yu. A. Markov} and \textit{M. A. Markova}, Russ. Phys. J. 58, No. 8, 1151--1159 (2015; Zbl 1332.81064); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 58, No. 8, 105--111 (2015)
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