E. P. Velicheva, A. A. Suz'ko, “Exact solutions of the nonstationary Schrödinger equation”, TMF, 115:3 (1998), 410–418; Theoret. and Math. Phys., 115:3 (1998), 687

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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 115, Number 3, Pages 410–418
DOI: https://doi.org/10.4213/tmf883 (Mi tmf883)

This article is cited in 6 scientific papers (total in 6 papers)

Exact solutions of the nonstationary Schrödinger equation

E. P. Velicheva^a, A. A. Suz'ko^b

^a Francisk Skorina Gomel State University
^b Institute of Radiation Physical-Chemical Problems, National Academy of Sciences of Belarus

Full-text PDF (190 kB) Citations (6)

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DOI: https://doi.org/10.4213/tmf883

Abstract: On the basis of exactly solvable stationary models for the Schrödinger equation, we develop a procedure for solving the nonstationary Schrödinger equation in an explicit analytic form. We investigate the formation of the nonadiabatic geometric phase during cyclic evolution of a quantum system.

Received: 14.01.1998

English version:
Theoretical and Mathematical Physics, 1998, Volume 115, Issue 3, Pages 687–693
DOI: https://doi.org/10.1007/BF02575492

Bibliographic databases:

Language: Russian

Citation: E. P. Velicheva, A. A. Suz'ko, “Exact solutions of the nonstationary Schrödinger equation”, TMF, 115:3 (1998), 410–418; Theoret. and Math. Phys., 115:3 (1998), 687–693

Citation in format AMSBIB

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\by E.~P.~Velicheva, A.~A.~Suz'ko

\paper Exact solutions of the nonstationary Schr\"odinger equation

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\issue 3

\pages 410--418

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\crossref{https://doi.org/10.4213/tmf883}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1692394}

\transl

\jour Theoret. and Math. Phys.

\yr 1998

\vol 115

\issue 3

\pages 687--693

\crossref{https://doi.org/10.1007/BF02575492}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000075883900007}

Linking options:

https://www.mathnet.ru/eng/tmf883

https://doi.org/10.4213/tmf883

https://www.mathnet.ru/eng/tmf/v115/i3/p410

Erratum

Исправление к статье: Е. П. Величева, А. А. Сузько “Точные решения нестационарного уравнения Шредингера” (ТМФ. 1998. Т. 115. № 3. С. 410–418)
E. P. Velicheva, A. A. Suz'ko
TMF, 1999, 121:3, 518

This publication is cited in the following 6 articles:

Hiromichi Nakazato, Alessandro Sergi, Agostino Migliore, Antonino Messina, “Invariant-Parameterized Exact Evolution Operator for SU(2) Systems with Time-Dependent Hamiltonian”, Entropy, 25:1 (2023), 96
Suzko, AA, “Exactly solvable time-dependent models in quantum mechanics and their applications”, Physics of Particles and Nuclei, 39:4 (2008), 578
A. A. Suzko, G. Giorgadze, “Quantum computing in exactly solvable models and geometric phases”, J Math Sci, 153:2 (2008), 186
A. A. Suzko, “Geometric phases and exactly solvable time-dependent potentials”, Phys. Part. Nuclei Lett., 4:2 (2007), 143
Suzko, AA, “Exactly solvable models with time-dependent potentials”, Physics Letters A, 308:4 (2003), 267
Suzko, AA, “Exact solutions of time-dependent Schrodinger equations and geometric phase”, Physics of Atomic Nuclei, 61:10 (1998), 1773

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	857
Full-text PDF :	371
References:	62
First page:	1

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