Exactly solvable associated Lame potentials and supersymmetric transformations

Details Exactly solvable associated Lame potentials and supersymmetric transformations Exactly solvable associated Lame potentials and supersymmetric transformations

2006-08-23

arxiv.org/abs/quant-ph/0608180v1

AnnalsPhys.322:1143-1161,2007

Physics

Quantum Physics

Annals of Phys.(in press); Present e-mail of AG: gangulyasish@rediffmail.com

Scientific paper

10.1016/j.aop.2006.07.011

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.

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