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Physica Scripta
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Physica Scripta
Article . 2002 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2001
License: arXiv Non-Exclusive Distribution
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One-Parameter Darboux-Transformed Quantum Actions in Thermodynamics

One-parameter Darboux-transformed quantum actions in thermodynamics
Authors: Rosu, Haret C.; Aceves de la Cruz, Fermin;

One-Parameter Darboux-Transformed Quantum Actions in Thermodynamics

Abstract

We use nonrelativistic supersymmetry, mainly Darboux transformations of the general (one-parameter) type, for the quantum oscillator thermodynamic actions. Interesting Darboux generalizations of the fundamental Planck and pure vacuum cases are discussed in some detail with relevant plots. It is shown that the one-parameter Darboux-transformed Thermodynamics refers to superpositions of boson and fermion excitations of positive and negative absolute temperature, respectively. Recent results of Arnaud, Chusseau, and Philippe physics/0105048 regarding a single mode oscillator Carnot cycle are extended in the same Darboux perspective. We also conjecture a Darboux generalization of the fluctuation-dissipation theorem

14 pages, 13 figures, correction of the formula in the text after Eq. 7, accepted at Physica Scripta

Keywords

Quantum Physics, Quantum dynamics and nonequilibrium statistical mechanics (general), FOS: Physical sciences, Quantum Physics (quant-ph)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
11
Average
Top 10%
Average
Green
bronze