Confluent Second-Order Supersymmetric Quantum Mechanics and Spectral Design

Abstract

The confluent second-order supersymmetric quantum mechanics, in which the factorization energies tend to a common value, is used to generate Hamiltonians with known spectra departing from the hyperbolic Rosen-Morse and Eckart potentials. The possible spectral modifications, as to create a new level or to delete a given one, as well as the isospectral transformations, are discussed.

arXiv comment13 pages, 6 figures

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Cited by in corpus (4)

• Bilayer graphene in magnetic fields generated by supersymmetry
• Bilayer graphene in periodic and quasiperiodic magnetic superlattices
• Supersymmetric Quantum Potentials Analogs of Classical Electrostatic Fields
• Ladder operators and coherent states for the Rosen-Morse system and its rational extensions