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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. Velichevaa, A. A. Suz'kob

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
\jour TMF
\yr 1998
\vol 115
\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
    This publication is cited in the following 6 articles:
    1. 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  crossref
    2. Suzko, AA, “Exactly solvable time-dependent models in quantum mechanics and their applications”, Physics of Particles and Nuclei, 39:4 (2008), 578  crossref  mathscinet  adsnasa  isi  scopus  scopus  scopus
    3. A. A. Suzko, G. Giorgadze, “Quantum computing in exactly solvable models and geometric phases”, J Math Sci, 153:2 (2008), 186  crossref
    4. A. A. Suzko, “Geometric phases and exactly solvable time-dependent potentials”, Phys. Part. Nuclei Lett., 4:2 (2007), 143  crossref
    5. Suzko, AA, “Exactly solvable models with time-dependent potentials”, Physics Letters A, 308:4 (2003), 267  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    6. Suzko, AA, “Exact solutions of time-dependent Schrodinger equations and geometric phase”, Physics of Atomic Nuclei, 61:10 (1998), 1773  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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