Supersymmetrically transformed periodic potentials
Abstract
Description
The higher order supersymmetric partners of a stationary periodic potential are studied. The transformation functions associated to the band edges do not change the spectral structure. However, when the transformation is implemented for factorization energies inside of the forbidden bands, the final potential will have again the initial band structure but it can have bound states encrusted into the gaps, giving place to localized periodicity defects.
10 pages, 3 figures, talk given at the 7th International Wigner Symposium, College Park, Maryland, August 2001, relevant references added
10 pages, 3 figures, talk given at the 7th International Wigner Symposium, College Park, Maryland, August 2001, relevant references added