Interpolation of SUSY quantum mechanics

Abstract

Interpolation of two adjacent Hamiltonians in SUSY quantum mechanics $H_s=(1-s)A^{†}A+sA{A}^{†}$, $0\le s\le 1$ is discussed together with related operators. For a wide variety of shape-invariant degree one quantum mechanics and their `discrete' counterparts, the interpolation Hamiltonian is also shape-invariant, that is it takes the same form as the original Hamiltonian with shifted coupling constant(s).

18 pages

References in corpus (6)

• Supersymmetry and Quantum Mechanics
• Unified Theory of Annihilation-Creation Operators for Solvable (`Discrete') Quantum Mechanics
• Shape Invariant Potentials in "Discrete Quantum Mechanics"
• Equilibrium Positions, Shape Invariance and Askey-Wilson Polynomials
• Calogero-Sutherland-Moser Systems, Ruijsenaars-Schneider-van Diejen Systems and Orthogonal Polynomials
• Supersymmetry and Nuclear Pairing