Berry phases for 3D Hartree type equations with a quadratic potential and a uniform magnetic field

Bibliographic Details
Parent link:Journal of Physics A: Mathematical and Theoretical
Vol. 40, № 6.— 2007.— [11129, 22 p.]
Main Author: Litvinets F. N.
Other Authors: Shapovalov A. V. Aleksandr Vasilyevich, Trifonov A. Yu. Andrey Yurievich
Summary:Title screen
A countable set of asymptotic space -- localized solutions is constructed by the complex germ method in the adiabatic approximation for 3D Hartree type equations with a quadratic potential. The asymptotic parameter is 1/T, where T»1 is the adiabatic evolution time. A generalization of the Berry phase of the linear Schr\"odinger equation is formulated for the Hartree type equation. For the solutions constructed, the Berry phases are found in explicit form.
Published: 2007
Subjects:
Online Access:http://dx.doi.org/10.1088/1751-8113/40/36/013
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636490

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