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The vacuum fluctuation theorem: Exact Schrödinger equation via nonequilibrium thermodynamics

2007/11/30 by Gerhard Groessing, Gerhard Grössing · 4 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #cond-mat.stat-mech #physics.hist-ph #quant-ph

paper · pdf · doi:10.1016/j.physleta.2008.05.007

published as Phys. Lett. A 372, 25 (2008) 4556-4563 · 39 pages; sign error in equ. (3.2.29) now corrected

openalex publication_date 2008/05/10 · arxiv created 2008/06/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

By assuming that a particle of energy hbar.omega is actually a dissipative system maintained in a nonequilibrium steady state by a constant throughput of energy (heat flow), the exact Schroedinger equation is derived, both for conservative and nonconservative systems. Thereby, only universal properties of oscillators and nonequilibrium thermostatting are used, such that a maximal model independence of the hypothesised sub-quantum physics is guaranteed. It is claimed that this represents the shortest derivation of the Schroedinger equation from (modern) classical physics in the literature, and the only exact one, too. Moreover, a "vacuum fluctuation theorem" is presented, with particular emphasis on possible applications for a better understanding of quantum mechanical nonlocal effects.

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