IFLP   13074
INSTITUTO DE FISICA LA PLATA
Unidad Ejecutora - UE
artículos
Título:
Parameter-free ansatz for inferring ground state wave functions of even convex potentials
Autor/es:
S.P.FLEGO; A.PLASTINO; A. R. PLASTINO
Revista:
PHYSICA SCRIPTA - (Print)
Editorial:
IOP PUBLISHING LTD
Referencias:
Lugar: Londres; Año: 2012 vol. 85 p. 55002 - 55008
ISSN:
0031-8949
Resumen:
Schrödinger´s equation (SE) and the information-optimizing principle based on Fisher´s information measure are intimately linked (Frieden et al 1999 Phys. Rev. E 60 48), which entails the existence of a Legendre transform structure underlying the SE (Flego et al 2011 J. Math. Phys. 52 082103). In this paper, we show that the existence of such a 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.