Legendre-transform structure derived from quantum theorems |
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| Authors: | SP FlegoA Plastino AR Plastino |
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| Institution: | a Universidad Nacional de La Plata, Instituto de Física (IFLP-CCT-CONICET), C.C. 727, 1900 La Plata, Argentinab Universitat de les Illes Balears and IFISC-CSIC, 07122 Palma de Mallorca, Spainc Universidad Nacional de La Plata, Facultad de Ingeniería, Depto. de Ciencias Básicas, 1900 La Plata, Argentinad CREG-University of La Plata-CONICET, Argentinae Instituto Carlos I de Fisica Teorica y Computacional and Departamento de Fisica Atomica, Molecular y Nuclear, Universidad de Granada, Granada, Spain |
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| 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. |
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| Keywords: | Virial theorem Hellmann-Feynman theorem Fisher information MaxEnt Reciprocity relations |
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