The Phenomenon of Darboux Displacements

Details The Phenomenon of Darboux Displacements The Phenomenon of Darboux Displacements

2003-02-28

arxiv.org/abs/quant-ph/0302204v1

Phys.Lett.A294:168-174,2002

Physics

Quantum Physics

11 pages, latex, 2 eps figures

Scientific paper

10.1016/S0375-9601(01)00839-8

For a class of Schrodinger Hamiltonians the supersymmetry transformations can
degenerate to simple coordinate displacements. We examine this phenomenon and
show that it distinguishes the Weierstrass potentials including the one-soliton
wells and periodic Lame functions. A supersymmetric sense of the addition
formula for the Weierstrass functions is elucidated.

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