Morse potential energy spectra through the variational method and supersymmetry

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Supersymmetry, Variational Method and Hulthén Potential

The formalism of Supersymmetric Quantum Mechanics provides us the eigenfunctions to be used in the variational method to obtain the eigenvalues for the Hulthén Potential. PACS No. 03.65. Work supported in part by FAPESP, CNPq and FUNDUNESP

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hep - th / 9507132 Supersymmetry , Variational Method and Hulthén Potential

The formalism of Supersymmetric Quantum Mechanics provides us the eigenfunctions to be used in the variational method to obtain the eigenvalues for the Hulthén Potential. PACS No. 03.65. Work supported in part by FAPESP, CNPq and FUNDUNESP

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ar X iv : h ep - t h / 99 10 25 4 v 1 3 0 O ct 1 99 9 Morse potential energy spectra through the variational method and supersymmetry 1 Elso

The Variational Method is applied within the context of Supersymmetric Quantum Mechanics to provide information about the energy and eigenfunction of the lowest levels of a Hamiltonian. The approach is illustrated by the case of the Morse potential applied to several diatomic molecules and the results are compared with stablished results.

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A New Modification of Morse Potential Energy Function

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Supersymmetry and Morse Theory

It is shown that the Morse inequalities can be obtained by consideration of a certain supersymmetric quantum mechanics Hamiltonian. Some of the implications of modern ideas in mathematics for supersymmetric theories are discussed.

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ژورنال

عنوان ژورنال: Physics Letters A

سال: 2000

ISSN: 0375-9601

DOI: 10.1016/s0375-9601(00)00267-x