Advances in Theoretical and Mathematical Physics

Volume 24 (2020)

Number 2

On entropy for general quantum systems

Pages: 491 – 526

DOI: https://dx.doi.org/10.4310/ATMP.2020.v24.n2.a6

Authors

W. A. Majewski (Focus Area for Pure and Applied Analytics, North-West University, Potchefstroom, South Africa; and the Institute of Theoretical Physics and Astrophysics, Gdansk University, Gdansk, Poland)

L. E. Labuschagne (Focus Area for Pure and Applied Analytics, North-West University, Potchefstroom, South Africa)

Abstract

In these notes we will give an overview and road map for a definition and characterization of (relative) entropy for both classical and quantum systems. In other words, we will provide a consistent treatment of entropy which can be applied within the recently developed Orlicz space based approach to large systems. This means that the proposed approach successfully provides a refined framework for the treatment of entropy in each of classical statistical physics, Dirac’s formalism of Quantum Mechanics, large systems of quantum statistical physics, and finally also for Quantum Field Theory.

Full Text (PDF format)

The contribution of L. E. Labuschagne is based on research partially supported by the National Research Foundation (IPRR Grant 96128).

Published 10 July 2020