Laplace-Runge-Lenz vector with spin in any dimension
arXiv:1403.2867 · doi:10.1088/1751-8113/47/37/375201
Abstract
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.
arXiv comment16 pages
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- Integrable and superintegrable quantum mechanical systems with position dependent masses invariant with respect to one parametric Lie groups. 2. Systems with dilatation and shift symmetries