Legendre-transform structure derived from quantum theorems

S.P. Flego, A. Plastino and A.R. Plastino

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 12, 2276-2282

Abstract: By recourse to (i) the Hellmann–Feynman theorem and (ii) the virial one, the information-optimizing principle based on Fisher’s information measure uncovers a Legendre-transform structure associated with Schrödinger’s equation, in close analogy with the structure that lies behind the standard thermodynamical formalism. The present developments provide new evidence for the information theoretical links based on Fisher’s measure that exist between Schrödinger’s equation, on the one hand, and thermodynamics/thermostatistics on the other hand.

Keywords: Virial theorem; Hellmann–Feynman theorem; Fisher information; MaxEnt; Reciprocity relations (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:390:y:2011:i:12:p:2276-2282

DOI: 10.1016/j.physa.2011.02.019

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