Pauli problem in thermodynamics

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.

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))

References in corpus (5)

• Quantum Thermodynamic Cycles and quantum heat engines
• Quantization of Contact Manifolds and Thermodynamics
• Small quantum networks operating as quantum thermodynamic machines
• Stochastic deformation of a thermodynamic symplectic structure
• New Examples of Kochen-Specker Type Configurations on Three Qubits

Cited by in corpus (3)

• Emergent quantum mechanics as a classical, irreversible thermodynamics
• Fluctuations of intensive quantities in statistical thermodynamics
• The irreversible quantum