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arXiv · 0707.0314

Interpolation of SUSY quantum mechanics

Satoru Odake·Yamac Pehlivan·Ryu Sasaki
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Abstract

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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Satoru Odake, Yamac Pehlivan, Ryu Sasaki. 2007-07-02. Interpolation of SUSY quantum mechanics. https://doi.org/10.1088/1751-8113%2F40%2F39%2F017

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