Hyperconfluent third-order supersymmetric quantum mechanics

Details Hyperconfluent third-order supersymmetric quantum mechanics Hyperconfluent third-order supersymmetric quantum mechanics

2011-05-11

arxiv.org/abs/1105.2333v3

J.Phys.A44:365302,2011

Physics

Quantum Physics

12 pages, 1 figure. Minor changes. To be published in J. Phys. A

Scientific paper

10.1088/1751-8113/44/36/365302

The hyperconfluent third-order supersymmetric quantum mechanics, in which all the factorization energies tend to a common value, is analyzed. It will be shown that the final potential as well can be achieved by applying consecutively a confluent second-order and a first-order SUSY transformations, both with the same factorization energy. The technique will be applied to the free particle and the Coulomb potential.

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