Nonlocal supersymmetric deformations of periodic potentials
C., David J. Fernandez ; Mielnik, Bogdan ; Rosas-Ortiz, Oscar ; Samsonov, Boris F.
arXiv, 0303051 / Harvested from arXiv
Text on arXiv
Irreducible second-order Darboux transformations are applied to the periodic Schrodinger's operators. It is shown that for the pairs of factorization energies inside of the same forbidden band they can create new non-singular potentials with periodicity defects and bound states embedded into the spectral gaps. The method is applied to the Lame and periodic piece-wise transparent potentials. An interesting phenomenon of translational Darboux invariance reveals nonlocal aspects of the supersymmetric deformations.
Publié le : 2003-03-10
Classification:  Quantum Physics,  High Energy Physics - Theory,  Mathematical Physics 
@article{0303051,
     author = {C., David J. Fernandez and Mielnik, Bogdan and Rosas-Ortiz, Oscar and Samsonov, Boris F.},
     title = {Nonlocal supersymmetric deformations of periodic potentials},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0303051}
}

C., David J. Fernandez; Mielnik, Bogdan; Rosas-Ortiz, Oscar; Samsonov, Boris F. Nonlocal supersymmetric deformations of periodic potentials. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0303051/