Supersymmetric partners of the trigonometric Poschl-Teller potentials

Details Supersymmetric partners of the trigonometric Poschl-Teller potentials Supersymmetric partners of the trigonometric Poschl-Teller potentials

2008-09-16

arxiv.org/abs/0809.2760v1

J. Phys. A: Math. Theor. 41 (2008) 475303

Physics

Quantum Physics

20 pages, 4 figures

Scientific paper

10.1088/1742-6596/128/1/012043

The first and second-order supersymmetry transformations are used to generate Hamiltonians with known spectra departing from the trigonometric Poschl-Teller potentials. The several possibilities of manipulating the initial spectrum are fully explored, and it is shown how to modify one or two levels, or even to leave the spectrum unaffected. The behavior of the new potentials at the boundaries of the domain is studied.

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