Analytic approximants for the energy eigenvalues of anharmonic potentials

Pablo Martín, Enrique Castro, José Luis Paz


A technique is presented that allows to obtain analytic approximations for the energy eigenvalues of the one-dimensional Schr í¶dinger equation with anharmonic potentials. This technique is based on an original way of obtaining perturbative expansions, together with the used of quasi-rational approximants found from these expansions at various points. The technique is applied explicitly to the ground state of the quartic anharmonic oscillator.

Palabras clave

anharmonic potentials; quasirational approximations

Texto completo:


Universidad del Zulia /Venezuela/  Ciencia/ /ISSN 1315-2076



Licencia de Creative Commons
Este obra está bajo una  licencia de Creative Commons Reconocimiento-NoComercial-CompartirIgual 3.0 Unported.