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Teoreticheskaya i Matematicheskaya Fizika, 1982, Volume 50, Number 3, Pages 390–396
(Mi tmf2307)
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This article is cited in 41 scientific papers (total in 41 papers)
Quasiclassical trajectory-coherent states of a nonrelativistic particle in an arbitrary electromagnetic field
V. G. Bagrov, V. V. Belov, I. M. Ternov
Abstract:
It is shown that for a nonrelativistic charged particle moving in an arbitrary external electromagnetic field there exist approximate solutions of the Schrödinger equation such that the mean quantum-mechanical coordinates and momenta of these states are enact general solutions of the classical Hamilton equations. Such states are called trajectory-coherent states. The wave functions of trajectory-coherent states are obtained by Maslov's complex germ method. The simplest properties of these states are studied.
Received: 20.04.1981
Citation:
V. G. Bagrov, V. V. Belov, I. M. Ternov, “Quasiclassical trajectory-coherent states of a nonrelativistic particle in an arbitrary electromagnetic field”, TMF, 50:3 (1982), 390–396; Theoret. and Math. Phys., 50:3 (1982), 256–261
Linking options:
https://www.mathnet.ru/eng/tmf2307 https://www.mathnet.ru/eng/tmf/v50/i3/p390
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