Quantum Statistical Mechanics for Nonextensive Systems II

TL;DR

This paper extends quantum many-particle Green function theory into nonextensive statistical mechanics, introducing a new temperature normalization, self-consistency, and developing linear response and transport equations.

Contribution

It reformulates quantum Green function theory within nonextensive statistics, incorporating a renormalized temperature and self-consistency, and derives linear response and transport equations.

Findings

Reformulation of Green function theory in nonextensive framework

Introduction of a renormalized temperature and self-consistency

Development of linear response and Boltzmann-like transport equations

Abstract

In this paper, the Green function theory of quantum many-particle systems recently presented is reworked within the framework of nonextensive statistical mechanics with a new normalized $q$-expectation values. This reformulation introduces a renormalization of temperature of the earlier theory and a self-consistency condition. The linear response theory is also presented, along with its two-particle Green function version. Finally, a Boltzmann transport-like equation is also developed here.