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Hamiltonian hierarchy and the Hulthén potential. (English) Zbl 1115.81349
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.

81Q60Supersymmetry and quantum mechanics
Full Text: DOI
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