Hamiltonian hierarchy and the Hulthén potential

We deal with the Hamiltonian hierarchy problem of the Hulthén potential within the frame of the supersymmetric quantum mechanics and find that the associated supersymmetric partner potentials simulate the effect of the centrifugal barrier. Incorporating the supersymmetric solutions and using the fir...

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Bibliographic Details
Published in:Physics letters. A 2000-10, Vol.275 (4), p.238-243
Main Authors: Gönül, B., Özer, O., Cançelik, Y., Koçak, M.
Format: Article
Language:English
Subjects:
Hulthén potential
Supersymmetric quantum mechanics
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Summary:We deal with the Hamiltonian hierarchy problem of the Hulthén potential within the frame of the supersymmetric quantum mechanics and find that the associated supersymmetric partner potentials simulate the effect of the centrifugal barrier. Incorporating the supersymmetric solutions and using the first-order perturbation theory we obtain an expression for the energy levels of the Hulthén potential which gives satisfactory values for the non-zero angular momentum states.
ISSN:0375-9601
1873-2429
DOI:10.1016/S0375-9601(00)00590-9