Rayleigh-Ritz variational method with suitable asymptotic behaviour

FERNÁNDEZ, FRANCISCO M.; GARCIA, JAVIER

CENTRAL EUROPEAN JOURNAL OF PHYSICS

VERSITA

Lugar: Varsovia; Año: 2014 vol. 12 p. 554 - 558

1895-1082

This paper considers the Rayleigh-Ritz variational calculations with non-orthogonal basis sets that exhibit the corret asymptotic behaviour. This approach is illustrated by constructing suitable basis sets for one-dimensional models such as the two double-well oscillators recently considered by other authors. The rate of convergence of the variational method proves to be considerably greater than the one exhibited by the recently developed orthogonal polynomial projection quantization.