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The Phenomenon of Darboux Displacements

David J. Fernandez C.·Bogdan Mielnik·Oscar Rosas-Ortiz·Boris F. Samsonov
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Abstract

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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David J. Fernandez C., Bogdan Mielnik, Oscar Rosas-Ortiz, Boris F. Samsonov. 2003-02-28. The Phenomenon of Darboux Displacements. https://doi.org/10.1016/s0375-9601(01)00839-8

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