Algebra of Conserved Generators and Statistical Ensembles in Generalized Quantum Dynamics

TL;DR

This paper explores the algebraic structure of conserved generators in generalized quantum dynamics and how they underpin the construction of statistical ensembles like microcanonical and canonical, along with their induced phase space flows.

Contribution

It introduces an algebraic framework for conserved generators in generalized quantum dynamics and analyzes the structure of associated statistical ensembles.

Findings

Algebraic structure of conserved generators characterized.

Construction of microcanonical and canonical ensembles analyzed.

Flows induced by generators on phase space studied.

Abstract

We study here the algebraic structure of the conserved generators from which the microcanonical and canonical ensembles are constructed on an underlying generalized quantum dynamics, and the flows they induce on the phase space. We also discuss briefly the structure of the microcanonical and canonical ensembles.