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On Quantum Statistical Mechanics: A Study Guide

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  • Wladyslaw Adam Majewski

Abstract

We provide an introduction to a study of applications of noncommutative calculus to quantum statistical physics. Centered on noncommutative calculus, we describe the physical concepts and mathematical structures appearing in the analysis of large quantum systems and their consequences. These include the emergence of algebraic approach and the necessity of employment of infinite-dimensional structures. As an illustration, a quantization of stochastic processes, new formalism for statistical mechanics, quantum field theory, and quantum correlations are discussed.

Suggested Citation

  • Wladyslaw Adam Majewski, 2017. "On Quantum Statistical Mechanics: A Study Guide," Advances in Mathematical Physics, Hindawi, vol. 2017, pages 1-9, November.
    • Handle: RePEc:hin:jnlamp:9343717
    DOI: 10.1155/2017/9343717
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    Cited by:

    1. Rami Ahmad El-Nabulsi & Waranont Anukool, 2023. "A generalized nonlinear cubic-quartic Schrodinger equation and its implications in quantum wire," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(5), pages 1-8, May.

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