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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2006 Volume 197, Number 11, Pages 3–12 (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

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.

UDC: 517.958

MSC: 35Q20, 81Q05

Received: 26.12.2005

DOI: 10.4213/sm1486


 English version:
Sbornik: Mathematics, 2006, 197:11, 1559–1568

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© Steklov Math. Inst. of RAS, 2026