Krein-Adler transformations for shape-invariant potentials and pseudo virtual states

DOI DOI 機関リポジトリ 機関リポジトリ (HANDLE) Web Site ほか1件をすべて表示 一部だけ表示 被引用文献13件 参考文献19件 オープンアクセス

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公開日
2013-06
資源種別
journal article
権利情報
  • Copyright© 2013 IOP Publishing Ltd / This is an author-created, un-copyedited version of an article accepted for publication in J. Phys. A-Math. Theor. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The definitive publisher-authenticated version is available online at DOI: 10.1088/1751-8113/46/24/245201 .
DOI
  • 10.1088/1751-8113/46/24/245201
  • 10.48550/arxiv.1212.6595
公開者
IOP PUBLISHING LTD

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説明

For 11 examples of one-dimensional quantum mechanics with shape-invariant potentials, the Darboux-Crum transformations in terms of multiple pseudo virtual state wavefunctions are shown to be equivalent to Krein-Adler transformations, deleting multiple eigenstates with shifted parameters. These are based upon infinitely many polynomial Wronskian identities of classical orthogonal polynomials, i.e. the Hermite, Laguerre and Jacobi polynomials, which constitute the main part of the eigenfunctions of various quantum mechanical systems with shape-invariant potentials.

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