Information Theory Consequences of the Scale-Invariance of Schröedinger’s Equation

Entropy

Silvana Flego¹  Angelo Plastino² 

[1] Área Departamental de Ciencias Básicas, Facultad de Ingeniería, Universidad Nacional de La Plata, 1900 La Plata, Argentina;Instituto de Física (IFLP-CCT-CONICET), Universidad Nacional de La Plata, C.C. 727, 1900 La Plata, Argentina

关键词: scaling invariance;    Fisher Information;    MaxEnt;    reciprocity relations;   

DOI  :  10.3390/e13122049

来源: mdpi

【 摘 要 】

In this communication we show that Fisher’s information measure emerges as a direct consequence of the scale-invariance of Schröedinger’s equation. Interesting, well-known additional results are re-obtained as well, for whose derivation only (and this is the novelty) the scale invariance property is needed, without further ado.

【 授权许可】

CC BY   
© 2011 by the authors; licensee MDPI, Basel, Switzerland.