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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 which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

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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