Parameter-free ansatz for inferring ground state wave functions of even potentials

Physica Scripta (Impact Factor: 1.13). 07/2011; 85(5). DOI: 10.1088/0031-8949/85/05/055002
Source: arXiv

ABSTRACT Schr\"odinger's equation (SE) and the information-optimizing principle based
on Fisher's information measure (FIM) are intimately linked, which entails the
existence of a Legendre transform structure underlying the SE. In this
comunication we show that the existence of such an structure allows, via the
virial theorem, for the formulation of a parameter-free ground state's
SE-ansatz for a rather large family of potentials. The parameter-free nature of
the ansatz derives from the structural information it incorporates through its
Legendre properties.

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Available from: A. Plastino, Sep 27, 2015
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