Abstract
In Feynman`s approach to quantum statistical mechanics, the partition function can e represented as a path integral. A recently proposed variation method of Feynman-Kleinert is able to transform the path integral into an integral in phase space, in which the quantum fluctuations have been taken care of by introducing the effective classical potential. This method has been testes with succeed for the smooth potentials and for the singular potential of delta. The method to the strong singular potentials is applied: a quadratic potential and a linear potential both with a rigid wall at the origin. By satisfying the condition that the density of the particle be vanish at the origin, and adapted method of Feynman-Kleinert in order to improve the method is introduced. (author).
Citation Formats
Trevisan, L A.
Evaluation of variational approximations; Avaliacao de aproximacoes variacionais.
Brazil: N. p.,
1991.
Web.
Trevisan, L A.
Evaluation of variational approximations; Avaliacao de aproximacoes variacionais.
Brazil.
Trevisan, L A.
1991.
"Evaluation of variational approximations; Avaliacao de aproximacoes variacionais."
Brazil.
@misc{etde_10136450,
title = {Evaluation of variational approximations; Avaliacao de aproximacoes variacionais}
author = {Trevisan, L A}
abstractNote = {In Feynman`s approach to quantum statistical mechanics, the partition function can e represented as a path integral. A recently proposed variation method of Feynman-Kleinert is able to transform the path integral into an integral in phase space, in which the quantum fluctuations have been taken care of by introducing the effective classical potential. This method has been testes with succeed for the smooth potentials and for the singular potential of delta. The method to the strong singular potentials is applied: a quadratic potential and a linear potential both with a rigid wall at the origin. By satisfying the condition that the density of the particle be vanish at the origin, and adapted method of Feynman-Kleinert in order to improve the method is introduced. (author).}
place = {Brazil}
year = {1991}
month = {Dec}
}
title = {Evaluation of variational approximations; Avaliacao de aproximacoes variacionais}
author = {Trevisan, L A}
abstractNote = {In Feynman`s approach to quantum statistical mechanics, the partition function can e represented as a path integral. A recently proposed variation method of Feynman-Kleinert is able to transform the path integral into an integral in phase space, in which the quantum fluctuations have been taken care of by introducing the effective classical potential. This method has been testes with succeed for the smooth potentials and for the singular potential of delta. The method to the strong singular potentials is applied: a quadratic potential and a linear potential both with a rigid wall at the origin. By satisfying the condition that the density of the particle be vanish at the origin, and adapted method of Feynman-Kleinert in order to improve the method is introduced. (author).}
place = {Brazil}
year = {1991}
month = {Dec}
}