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Interpolation of SUSY quantum mechanics

Mathematical Physics 2008-11-26 v1 High Energy Physics - Theory math.MP Nuclear Theory

Abstract

Interpolation of two adjacent Hamiltonians in SUSY quantum mechanics Hs=(1s)AA+sAAH_s=(1-s)A^{\dagger}A + sAA^{\dagger}, 0s10\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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Cite

@article{arxiv.0707.0314,
  title  = {Interpolation of SUSY quantum mechanics},
  author = {Satoru Odake and Yamac Pehlivan and Ryu Sasaki},
  journal= {arXiv preprint arXiv:0707.0314},
  year   = {2008}
}

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18 pages