Analytic approximants for the energy eigenvalues of anharmonic potentials

Pablo Martín, Enrique Castro, José Luis Paz

Resumen


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

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Universidad del Zulia /Venezuela/  Ciencia/ revistaciencia@fec.luz.edu.ve /ISSN 1315-2076

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