Confluent second-order supersymmetric quantum mechanics and spectral design

2019/09/14 by David J. Fernandez C, David J Fernández C, Barnana Roy · 12 citations
Mathematics · Physics and Astronomy · #Factorization #Isospectral #Nonlinear Waves and Solitons #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Spectral line #Spectral properties #Supersymmetric quantum mechanics #Supersymmetry #hep-th #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1088/1402-4896/ab4be2

published in Physica Scripta 95(5), 055210 (IOP Publishing) · 13 pages, 6 figures

arxiv created 2019/09/14 · openalex created_date 2019/09/19 · openalex publication_date 2019/10/08 · arxiv updated 2020/06/08 · openalex updated_date 2026/08/05

Abstract

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.

Citations

• On integral and differential representations of Jordan chains and the confluent supersymmetry algorithm
• The confluent algorithm in second-order supersymmetric quantum mechanics
• Nonlinear supersymmetry in quantum mechanics: algebraic properties and differential representation
• Supersymmetric Quantum Mechanics
• Wronskian differential formula for k-confluent SUSY QM