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Exactly solvable extended potentials in arbitrary dimensions

Mathematical Physics 2014-02-07 v1 math.MP

Abstract

We apply a simple transformation method to construct a set of new exactly solvable potentials (ESP) which gives rise to bound state solution of DD-dimensional Schr\"odinger equation. The important property of such exactly solvable quantum systems is that their normalized eigenfunctions can be written in terms of recently introduced exceptional orthogonal polynomials (EOP).

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Cite

@article{arxiv.1402.1265,
  title  = {Exactly solvable extended potentials in arbitrary dimensions},
  author = {Nabaratna Bhagawati},
  journal= {arXiv preprint arXiv:1402.1265},
  year   = {2014}
}

Comments

11 pages

R2 v1 2026-06-22T03:02:31.605Z