A unified approach for exactly solvable potentials in quantum mechanics using shift operators

Mo-Lin Ge; L. C. Kwek; Yong Liu; C. H. Oh; Xiang-Bin Wang

doi:10.1103/PhysRevA.62.052110

A unified approach for exactly solvable potentials in quantum mechanics using shift operators

量子物理 2009-11-06 v1

作者: Mo-Lin Ge , L. C. Kwek , Yong Liu , C. H. Oh , Xiang-Bin Wang

在 arXiv 上查看 ↗ PDF ↗ DOI ↗

摘要

We present a unified approach for solving and classifying exactly solvable potentials. Our unified approach encompasses many well-known exactly solvable potentials. Moreover, the new approach can be used to search systematically for a new class of solvable potentials.

关键词

quantum mechanics potentials operator theory and quantum mechanics painlevé equations and orthogonal polynomials

引用

@article{arxiv.quant-ph/0008002,
  title  = {A unified approach for exactly solvable potentials in quantum mechanics using shift operators},
  author = {Mo-Lin Ge and L. C. Kwek and Yong Liu and C. H. Oh and Xiang-Bin Wang},
  journal= {arXiv preprint arXiv:quant-ph/0008002},
  year   = {2009}
}

备注

RevTex, 8 pages

A unified approach for exactly solvable potentials in quantum mechanics using shift operators

摘要

关键词

引用

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