V. G. Bagrov, V. V. Belov, A. M. Rogova, “Semiclassically concentrated quantum states”, TMF, 90:1 (1992), 84–94; Theoret. and Math. Phys., 90:1 (1992), 55

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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 90, Number 1, Pages 84–94 (Mi tmf5509)

This article is cited in 11 scientific papers (total in 11 papers)

Semiclassically concentrated quantum states

V. G. Bagrov^a, V. V. Belov^b, A. M. Rogova^b

^a Institute of High Current Electronics, Siberian Branch of the USSR Academy of Sciences
^b Moscow Institute of Electronic Engineering

Full-text PDF (1026 kB) Citations (11)

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Abstract: A semiclassically concentrated state in quantum mechanics is defined. For the example of a one-dimensional Schrödinger equation, a theorem is proved which shows that the condition of semiclassical concentration can be realized only on the solutions of the corresponding classical system of Hamilton equations.

Received: 06.09.1991

English version:
Theoretical and Mathematical Physics, 1992, Volume 90, Issue 1, Pages 55–61
DOI: https://doi.org/10.1007/BF01018819

Bibliographic databases:

Language: Russian

Citation: V. G. Bagrov, V. V. Belov, A. M. Rogova, “Semiclassically concentrated quantum states”, TMF, 90:1 (1992), 84–94; Theoret. and Math. Phys., 90:1 (1992), 55–61

Citation in format AMSBIB

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\by V.~G.~Bagrov, V.~V.~Belov, A.~M.~Rogova

\paper Semiclassically concentrated quantum states

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\yr 1992

\vol 90

\issue 1

\pages 84--94

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\transl

\jour Theoret. and Math. Phys.

\yr 1992

\vol 90

\issue 1

\pages 55--61

\crossref{https://doi.org/10.1007/BF01018819}

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https://www.mathnet.ru/eng/tmf5509

https://www.mathnet.ru/eng/tmf/v90/i1/p84

This publication is cited in the following 11 articles:

Iván F. Valtierra, Andrei B. Klimov, Gerd Leuchs, Luis L. Sánchez-Soto, “Quasiprobability currents on the sphere”, Phys. Rev. A, 101:3 (2020)
Andrei B Klimov, José Luis Romero, Hubert de Guise, “GeneralizedSU(2) covariant Wigner functions and some of their applications”, J. Phys. A: Math. Theor., 50:32 (2017), 323001
S M Chumakov, A B Klimov, “Semiclassical dynamics of the resonant Dicke model in a strongly non-linear regime”, Phys. Scr., 90:7 (2015), 074044
K Tomatani, J L Romero, A B Klimov, “Semiclassical phase-space dynamics of compound quantum systems:SU(2) covariant approach”, J. Phys. A: Math. Theor., 48:21 (2015), 215303
B Preciado, J L Romero, A B Klimov, “Differential form of the correspondence rules for the generalized SU(2) Wigner functions”, Phys. Scr., T147 (2012), 014027
Andrei B Klimov, Hossein Tavakoli Dinani, Zachari E D Medendorp, Hubert de Guise, “Qutrit squeezing via semiclassical evolution”, New J. Phys., 13:11 (2011), 113033
A B Klimov, J L Romero, “A generalized Wigner function for quantum systems with theSU(2) dynamical symmetry group”, J. Phys. A: Math. Theor., 41:5 (2008), 055303
A B Klimov, P Espinoza, “Classical evolution of quantum fluctuations in spin-like systems: squeezing and entanglement”, J. Opt. B: Quantum Semiclass. Opt., 7:6 (2005), 183
V. V. Belov, M. F. Kondrat'eva, “The Hamiltonian structure of equations for quantum averages in systems with matrix Hamiltonians”, Math. Notes, 58:6 (1995), 1251–1261
V. V. Belov, M. F. Kondrat'eva, “Hamiltonian systems of equations for quantum means”, Math. Notes, 56:6 (1994), 1228–1237
V. V. Belov, A. M. Rogova, “Nonspreading quasi-classical wave packets in nonrelativistic quantum mechanics”, Russ Phys J, 37:6 (1994), 593

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

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Full-text PDF :	170
References:	78
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