A PT-Invariant Potential With Complex QES Eigenvalues

Avinash Khare; Bhabani Prasad Mandal

doi:10.1016/S0375-9601(00)00409-6

A PT-Invariant Potential With Complex QES Eigenvalues

量子物理 2009-11-06 v1 高能物理 - 理论数学物理 math.MP

作者: Avinash Khare , Bhabani Prasad Mandal

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摘要

We show that the quasi-exactly solvable eigenvalues of the Schr\"odinger equation for the PT-invariant potential $V(x) = -(\zeta \cosh 2x -iM)^2$ are complex conjugate pairs in case the parameter M is an even integer while they are real in case M is an odd integer. We also show that whereas the PT symmetry is spontaneously broken in the former case, it is unbroken in the latter case.

关键词

painlevé equations and orthogonal polynomials

引用

@article{arxiv.quant-ph/0006126,
  title  = {A PT-Invariant Potential With Complex QES Eigenvalues},
  author = {Avinash Khare and Bhabani Prasad Mandal},
  journal= {arXiv preprint arXiv:quant-ph/0006126},
  year   = {2009}
}

备注

8 pages, Latex, No fig, To appear in PLA(2000)

A PT-Invariant Potential With Complex QES Eigenvalues

摘要

关键词

引用

备注

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