Parameter-free ansatz for inferring ground state wave functions of even convex potentials
Schrodinger'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 0821...
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Articulo |
| Lenguaje: | Inglés |
| Publicado: |
2012
|
| Materias: | |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/131534 |
| Aporte de: |
| Sumario: | Schrodinger'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. |
|---|