Legendre-transform structure derived from quantum theorems

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 Schrodinger’s equation, in close analogy with the structure that lies behind the standard thermo...

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Autores principales: Flego, Silvana Pilar, Plastino, Ángel Luis, Plastino, Ángel Ricardo
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2011
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/128412
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Sumario: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 Schrodinger’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 Schrodinger’s equation, on the one hand, and thermodynamics/thermostatistics on the other hand.