The Phenomenon of Darboux Displacements
C., David J. Fernandez ; Mielnik, Bogdan ; Rosas-Ortiz, Oscar ; Samsonov, Boris F.
arXiv, 0302204 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-02-28
Classification:  Quantum Physics,  High Energy Physics - Theory,  Mathematical Physics 
@article{0302204,
     author = {C., David J. Fernandez and Mielnik, Bogdan and Rosas-Ortiz, Oscar and Samsonov, Boris F.},
     title = {The Phenomenon of Darboux Displacements},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0302204}
}

C., David J. Fernandez; Mielnik, Bogdan; Rosas-Ortiz, Oscar; Samsonov, Boris F. The Phenomenon of Darboux Displacements. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0302204/