Pauli problem in thermodynamics
Mathematical Physics
2013-08-02 v2 math.MP
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.
Cite
@article{arxiv.1208.2919,
title = {Pauli problem in thermodynamics},
author = {Artur E. Ruuge},
journal= {arXiv preprint arXiv:1208.2919},
year = {2013}
}
Comments
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))