Inferring an optimal Fisher measure |
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Authors: | SP Flego A Plastino AR Plastino |
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Institution: | 1. Universidad Nacional de La Plata, Instituto de Física (IFLP-CCT-CONICET), C.C. 727, 1900 La Plata, Argentina;2. Universidad Nacional de La Plata, Fac. de Ingeniería, 1900 La Plata, Argentina;3. CREG-University of La Plata-CONICET, C.C. 727, 1900 La Plata, Argentina;4. Instituto Carlos I de Fisica Teorica y Computacional and Departamento de Fisica Atomica, Molecular y Nuclear, Universidad de Granada, Granada, Spain;5. Universitat de les Illes Balears and IFISC-CSIC, 07122 Palma de Mallorca, Spain |
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Abstract: | It is well known that a suggestive relation exists that links the Schrödinger equation (SE) to the information-optimizing principle based on the Fisher information measure (FIM). We explore here an approach that will allow one to infer the optimal FIM compatible with a given amount of prior information without explicitly solving first the associated SE. This technique is based on the virial theorem and it provides analytic solutions for the physically relevant FIM, that which is minimal subject to the constraints posed by the prior information. |
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