Exactly solvable associated Lame potentials and supersymmetric transformations
Quantum Physics
2008-11-26 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
A systematic procedure to derive exact solutions of the associated Lame equation for an arbitrary value of the energy is presented. Supersymmetric transformations in which the seed solutions have factorization energies inside the gaps are used to generate new exactly solvable potentials; some of them exhibit an interesting property of periodicity defects.
Keywords
Cite
@article{arxiv.quant-ph/0608180,
title = {Exactly solvable associated Lame potentials and supersymmetric transformations},
author = {David J. Fernandez C. and Asish Ganguly},
journal= {arXiv preprint arXiv:quant-ph/0608180},
year = {2008}
}
Comments
Annals of Phys.(in press); Present e-mail of AG: [email protected]