Physical implications of Fisher-information’s scaling symmetry

• Autorzy: Silvina Flego , Angelo Plastino , Angel Plastino
• Języki publikacji: EN

Abstrakty

EN

We study the scaling properties of Fisher’s information measure (FIM) and show that from these one can straightforwardly deduce significant quantum-mechanical results. Specifically, we investigate the scaling properties of Fisher’s measure I and encounter that, from the concomitant operating rules, several interesting, albeit known, results can be derived. This entails that such results can be regarded as pre-configured by the conjunction of scaling and information theory. The central notion to be arrived at is that scaling entails that I must obey a certain partial differential equation (PDE). These PDE-solutions have properties that enable the application of a Legendre-transform (LT). The conjunction PDE+LT leads one to obtain several quantum results without recourse to the Schrödinger’s equation.

Słowa kluczowe

EN

scaling transform; Fisher Information; Legendre structure; reciprocity relations

• Czasopismo: Open Physics
• Rocznik: 2012
• Tom: 10
• Numer: 2
• Strony: 390-397

Daty

wydano

2012-04-01

online

2012-03-31

Twórcy

autor

Silvina Flego

• Facultad de Ingeniería, Grupo de Investigación Teórica y Aplicada en Teoría de la Información (GTyATI), Universidad Nacional de La Plata, 1900, La Plata, Argentina

autor

Angelo Plastino,

autor

Angel Plastino

Bibliografia

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Identyfikatory

DOI

10.2478/s11534-012-0007-1