Exactly solvable associated Lame potentials and supersymmetric transformations

David J. Fernandez C.; Asish Ganguly

doi:10.1016/j.aop.2006.07.011

Exactly solvable associated Lame potentials and supersymmetric transformations

量子物理 2008-11-26 v1 高能物理 - 理论数学物理 math.MP

作者: David J. Fernandez C. , Asish Ganguly

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摘要

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.

关键词

painlevé equations and orthogonal polynomials differential equations quantum mechanics potentials

引用

@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}
}

备注

Annals of Phys.(in press); Present e-mail of AG: [email protected]

Exactly solvable associated Lame potentials and supersymmetric transformations

摘要

关键词

引用

备注

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