Feynman's variational principle for a~polaron in a~magnetic field
Teoretičeskaâ i matematičeskaâ fizika, Tome 62 (1985) no. 2, pp. 304-311
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The validity of the generalization of Feynman's variational inequality in polaron theory
to the case of an arbitrary nonvanishing constant magnetic field is investigated. It is
shown that when an anisotropic trial quadratic action is used this generalization is not
valid. For the linear polaron model in the case of isotropic trial quadratic action the
validity of the Feyuman variational inequality is proved for all temperatures, coupling
constants, and magnetic fields.
@article{TMF_1985_62_2_a11,
author = {S. N. Gorshkov and A. V. Zabrodin and C. Rodriguez and V. K. Fedyanin},
title = {Feynman's variational principle for a~polaron in a~magnetic field},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {304--311},
publisher = {mathdoc},
volume = {62},
number = {2},
year = {1985},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1985_62_2_a11/}
}
TY - JOUR AU - S. N. Gorshkov AU - A. V. Zabrodin AU - C. Rodriguez AU - V. K. Fedyanin TI - Feynman's variational principle for a~polaron in a~magnetic field JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1985 SP - 304 EP - 311 VL - 62 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1985_62_2_a11/ LA - ru ID - TMF_1985_62_2_a11 ER -
%0 Journal Article %A S. N. Gorshkov %A A. V. Zabrodin %A C. Rodriguez %A V. K. Fedyanin %T Feynman's variational principle for a~polaron in a~magnetic field %J Teoretičeskaâ i matematičeskaâ fizika %D 1985 %P 304-311 %V 62 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1985_62_2_a11/ %G ru %F TMF_1985_62_2_a11
S. N. Gorshkov; A. V. Zabrodin; C. Rodriguez; V. K. Fedyanin. Feynman's variational principle for a~polaron in a~magnetic field. Teoretičeskaâ i matematičeskaâ fizika, Tome 62 (1985) no. 2, pp. 304-311. http://geodesic.mathdoc.fr/item/TMF_1985_62_2_a11/