Physical implications of Fisher-information’s scaling symmetry

• Authors: Silvina Flego , Angelo Plastino , Angel Plastino
• Languages of publication: EN

Abstracts

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.

Keywords

EN

scaling transform; Fisher Information; Legendre structure; reciprocity relations

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2012
• Volume: 10
• Issue: 2
• Pages: 390-397

Dates

published

1 - 4 - 2012

online

31 - 3 - 2012

Contributors

author

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

author

Angelo Plastino

author

Angel Plastino

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Identifiers

DOI

10.2478/s11534-012-0007-1