Analytic aproximants for the energy eigenvalues of anharmonic potentials

Pablo Martín, Abilio De Freitas, Enrique Castro, José Luis Paz

Resumen


A technique is presented that allows to obtain analytic approximations for the energy eigenvalues of the one-dimensional Schrödinger equation with anharmonic potentials. This technique is based on an original way of obtaining perturbative expansions, together with the use 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, Solutions of wave equations: bound states

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