Hyperconfluent third-order supersymmetric quantum mechanics

Abstract

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