Superintegrable systems with spin in two- and three-dimensional Euclidean spaces

Details Superintegrable systems with spin in two- and three-dimensional Euclidean spaces Superintegrable systems with spin in two- and three-dimensional Euclidean spaces

2007-11-05

arxiv.org/abs/0711.0753v1

Physics

Mathematical Physics

7 pages

Scientific paper

The concept of superintegrability in quantum mechanics is extended to the
case of a particle with spin s=1/2 interacting with one of spin s=0.
Non-trivial superintegrable systems with 8- and 9-dimensional Lie algebras of
first-order integrals of motion are constructed in two- and three-dimensional
spaces, respectively.

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