Legendre-transform structure derived from quantum theorems

Details Legendre-transform structure derived from quantum theorems Legendre-transform structure derived from quantum theorems

2011-01-24

arxiv.org/abs/1101.4661v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

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 Schr\"odinger'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 Schr\"odinger's equation, on the one hand, and thermodynamics/thermostatistics on the other one.

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