Interpolation of SUSY quantum mechanics

Abstract

Interpolation of two adjacent Hamiltonians in SUSY quantum mechanics Hs=(1-s)AA + sAA, 0 s 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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