Interpolation of SUSY quantum mechanics

Details Interpolation of SUSY quantum mechanics Interpolation of SUSY quantum mechanics

2007-07-02

arxiv.org/abs/0707.0314v1

J.Phys.A40:11973-11986,2007

Physics

Mathematical Physics

18 pages

Scientific paper

10.1088/1751-8113/40/39/017

Interpolation of two adjacent Hamiltonians in SUSY quantum mechanics $H_s=(1-s)A^{\dagger}A + sAA^{\dagger}$, $0\le s\le 1$ 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).

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