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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1982 Volume 50, Number 3, Pages 390–396 (Mi tmf2307)

This article is cited 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


 English version:
Theoretical and Mathematical Physics, 1982, 50:3, 256–261

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© Steklov Math. Inst. of RAS, 2025