Laplace-Runge-Lenz vector with spin in any dimension
Abstract
Superintegrable d-dimensional quantum mechanical systems with spin, which admit a generalized Laplace-Runge-Lenz vector are presented. The systems with spins 0, \frac{1}{2} and 1 are considered in detail. All these systems are exactly solvable for arbitrary d, and their solutions are presented explicitly.
- Publication:
-
Journal of Physics A Mathematical General
- Pub Date:
- September 2014
- DOI:
- 10.1088/1751-8113/47/37/375201
- arXiv:
- arXiv:1403.2867
- Bibcode:
- 2014JPhA...47K5201N
- Keywords:
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- Mathematical Physics;
- Quantum Physics;
- 81Q60;
- 81Q80;
- 81R99
- E-Print:
- 16 pages