The generalized zero-mode supersymmetry scheme and the confluent algorithm
arXiv:1504.02426 · doi:10.1016/j.aop.2015.01.004
Abstract
We show the relationship between the mathematical framework used in recent papers by H.C. Rosu, S.C. Mancas and P. Chen (2014) and the second-order confluent supersymmetric quantum mechanics. In addition, we point out several immediate generalizations of the approach taken in the latter references. Furthermore, it is shown how to apply the generalized scheme to the Dirac and to the Fokker-Planck equation.
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- Trends in supersymmetric quantum mechanics
- On integral and differential representations of Jordan chains and the confluent supersymmetry algorithm
- Photonic systems with two-dimensional landscapes of complex refractive index via time-dependent supersymmetry
- Confluent Crum-Darboux transformations in Dirac Hamiltonians with -symmetric Bragg gratings
- Wronskian differential formula for k-confluent SUSY QM
- Bilayer graphene in magnetic fields generated by supersymmetry
- Confluent Second-Order Supersymmetric Quantum Mechanics and Spectral Design
- Generalization of SUSY Intertwining Relations: New Exact Solutions of Fokker-Planck Equation
- Supersymmetric Quantum Potentials Analogs of Classical Electrostatic Fields
- Freezable bound states in the continuum for time-dependent quantum potentials