SUPERSYMMETRY, VARIATIONAL METHOD AND HULTHÉN POTENTIAL

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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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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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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 superymmetric 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 theHulthén potential...

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0 PT − symmetric form of the Hulthén potential

The fourth, missing example of an exactly solvable complex potential with PT symmetry V (x) = [V (−x)] * defined on a bent contour and leading, at the real energies, to the Jacobi polynomial wave functions is found in a generalized Hulthén interaction.

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0 60 90 10 v 1 5 S ep 2 00 6 Any l - state solutions of the Hulthén potential by the asymptotic iteration method

In this article, we present the analytical solution of the radial Schrödinger equation for the Hulthén potential within the framework of the asymptotic iteration method by using an approximation to the centrifugal potential for any l states. We obtain the energy eigenvalues and the corresponding eigenfunctions for different screening parameters. The wave functions are physical and energy eigenv...

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ژورنال

عنوان ژورنال: Modern Physics Letters A

سال: 1995

ISSN: 0217-7323,1793-6632

DOI: 10.1142/s0217732395001733