A Divergence-Free Wigner Transform of the Boltzmann Operator Based on an Effective Frequency Theory.

ABSTRACT: The centroid effective frequency representation of path integrals as developed by Feynman and Kleinert was originally aimed at calculating partition functions and related quantities in the canonical ensemble. In its path integral formulation, only closed paths were relevant. This formulation has been used by the present authors in order to calculate the many-body Wigner function of the Boltzmann operator, which includes also open paths. This usage of the theory outside of the original intention can lead to mathematical divergence issues for potentials with barriers, particularly at low temperature. In the present paper, we modify the effective frequency theory of Feynman and Kleinert by also including open paths in its variational equations. In this way, a divergence-free approximat

SUBMITTER: Poulsen JA 

PROVIDER: S-EPMC8543443 | biostudies-literature | 2021 Oct

REPOSITORIES: biostudies-literature