The Phenomenon of Darboux Displacements

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.

11 pages, latex, 2 eps figures

References in corpus (1)

• Group theoretical approach to the intertwined Hamiltonians

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