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Entropy 2011, 13(12), 2049-2058; doi:10.3390/e13122049
Article

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

1, 2,3,4,*  and 3,4,5
1 Área Departamental de Ciencias Básicas, Facultad de Ingeniería, Universidad Nacional de La Plata,1900 La Plata, Argentina 2 Instituto de Física (IFLP-CCT-CONICET), Universidad Nacional de La Plata, C.C. 727, 1900 La Plata, Argentina 3 Instituto Carlos I de Fisica Teorica y Computacional, Molecular y Nuclear, Universidad de Granada, Granada 18071, Spain 4 Departamento de Fisica Atomica, Molecular y Nuclear, Universidad de Granada, Granada 18071, Spain 5 Centro Regional de Estudios Genomicos (CREG), University of La Plata, CONICET, C. C. 727, 1900 La Plata, Argentina
* Author to whom correspondence should be addressed.
Received: 26 September 2011 / Revised: 25 November 2011 / Accepted: 5 December 2011 / Published: 20 December 2011
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Abstract

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.
Keywords: scaling invariance; Fisher Information; MaxEnt; reciprocity relations scaling invariance; Fisher Information; MaxEnt; reciprocity relations
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Flego, S.; Plastino, A.; Plastino, A.R. Information Theory Consequences of the Scale-Invariance of Schröedinger’s Equation. Entropy 2011, 13, 2049-2058.

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