Pauli problem in thermodynamics

2012/08/14 by Artur E. Ruuge, Ruuge, Artur E. · 1 citation
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Mechanics and Applications #Statistical Mechanics and Entropy #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1208.2919

35 pages; this is an extended version of my work on the Pauli problem published as two separate papers in Doklady Mathematics ((vol. 87 issue 3) and (vol. 88 issue 1))

openalex publication_date 2012/08/14 · arxiv created 2013/08/01 · arxiv updated 2013/08/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A thermodynamic analogue of the Pauli problem (reconstruction of a wavefunction from the position and momentum distributions) is formulated. The coordinates of a quantum system are replaced by the inverse absolute temperature and other intensive quantities, and the Planck constant is replaced by the Boltzmann constant multiplied by two. A new natural mathematical generalization of the quasithermodynamic fluctuation theory is suggested and sufficient conditions for the existence of asymptotic solutions of the thermodynamic Pauli problem are obtained.

Citations

• On the Problem of Hidden Variables in Quantum Mechanics

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• Emergent quantum mechanics as a classical, irreversible thermodynamics

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