The Phenomenon of Darboux Displacements
Quantum Physics
2011-07-28 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.quant-ph/0302204,
title = {The Phenomenon of Darboux Displacements},
author = {David J. Fernandez C. and Bogdan Mielnik and Oscar Rosas-Ortiz and Boris F. Samsonov},
journal= {arXiv preprint arXiv:quant-ph/0302204},
year = {2011}
}
Comments
11 pages, latex, 2 eps figures