Supersymmetry Transformations for Delta Potentials

Abstract

We make a detailed study of the first and second-order SUSY partners of a one-dimensional free Hamiltonian with a singular perturbation proportional to a Dirac delta function. It is shown that the second-order transformations increase the spectral manipulation possibilities offered by the standard first-order supersymmetric quantum mechanics.

References in corpus (5)

• Self-isospectrality, special supersymmetry, and their effect on the band structure
• Hidden supersymmetry in quantum bosonic systems
• Supersymmetric Quantum Mechanics
• The origin of the hidden supersymmetry
• Hidden nonlinear su(2|2) superunitary symmetry of N=2 superextended 1D Dirac delta potential problem

Cited by in corpus (2)

• Rectangular Potentials in a Semi-Harmonic Background: Spectrum, Resonances and Dwell Time
• Supersymmetric Partners of the One-Dimensional Infinite Square Well Hamiltonian