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Sbornik: Mathematics, 2006, Volume 197, Issue 11, Pages 1559–1568
DOI: https://doi.org/10.1070/SM2006v197n11ABEH003812 (Mi sm1486) 		 
Representation of the Green's function of Schrödinger's equation with almost periodic potential by a path integral over coherent states

A. A. Arsen'ev

M. V. Lomonosov Moscow State University, Faculty of Physics
English version PDF (221 kB) Russian version article
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DOI: https://doi.org/10.1070/SM2006v197n11ABEH003812
Abstract: The Cauchy problem is considered for the many-dimensional Schrödinger equation describing a particle in constant electric and magnetic fields and the field of a potential equal to the sum of a decreasing and an almost periodic function. An approximation of the Green's function of the Cauchy problem for such an equation by a path integral over Gaussian wave packets is put forward.
Bibliography: 21 titles.
Received: 26.12.2005
Bibliographic databases:
UDC: 517.958
MSC: 35Q20, 81Q05
Language: English
Original paper language: Russian
Citation: A. A. Arsen'ev, “Representation of the Green's function of Schrödinger's equation with almost periodic potential by a path integral over coherent states”, Sb. Math., 197:11 (2006), 1559–1568
Citation in format AMSBIB
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\by A.~A.~Arsen'ev
\paper Representation of the Green's function of~Schr\"odinger's
equation with almost periodic potential by a path integral
over coherent states
\jour Sb. Math.
\yr 2006
\vol 197
\issue 11
\pages 1559--1568
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