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arxiv: 1403.2867 · v1 · pith:45OFSPT7new · submitted 2014-03-12 · 🧮 math-ph · math.MP· quant-ph

Laplace-Runge-Lenz vector with spin in any dimension

classification 🧮 math-ph math.MPquant-ph
keywords systemslaplace-runge-lenzpresentedspinvectoradmitarbitraryconsidered
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Superintegrable d - dimensional quantum mechanical systems with spin, which admit a generalized Laplace-Runge-Lenz vector are presented. The systems with spins 0, 1/2 and 1 are considered in detail. All these systems are exactly solvable for arbitrary d, and their solutions are presented explicitly.

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