Legendre-transform structure derived from quantum theorems
Statistical Mechanics
2015-05-27 v1
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 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.
Cite
@article{arxiv.1101.4661,
title = {Legendre-transform structure derived from quantum theorems},
author = {S. P. Flego and A. Plastino and A. R. Plastino},
journal= {arXiv preprint arXiv:1101.4661},
year = {2015}
}