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• W2891361488 abstract "We present a useful proposition for discovering extended Laplace-Runge-Lentz vectors of certain quantum mechanical systems. We propose a new family of superintegrable systems and construct their integrals of motion. We solve these systems via separation of variables in spherical coordinates and obtain their exact energy eigenvalues and the corresponding eigenfunctions. We give the quadratic algebra relations satisfied by the integrals of motion. Remarkably these algebra relations involve the Casimir operators of certain higher rank Lie algebras in the structure constants." @default.
• W2891361488 created "2018-09-27" @default.
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• W2891361488 creator A5049413367 @default.
• W2891361488 creator A5087631945 @default.
• W2891361488 date "2019-03-01" @default.
• W2891361488 modified "2023-09-26" @default.
• W2891361488 title "Extended Laplace–Runge–Lentz vectors, new family of superintegrable systems and quadratic algebras" @default.
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• W2891361488 doi "https://doi.org/10.1016/j.aop.2019.01.009" @default.
• W2891361488 hasPublicationYear "2019" @default.
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