Superintegrable systems with spin in two- and three-dimensional Euclidean spaces
Mathematical Physics
2016-11-23 v1 math.MP
Abstract
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.
Cite
@article{arxiv.0711.0753,
title = {Superintegrable systems with spin in two- and three-dimensional Euclidean spaces},
author = {P. Winternitz and I. Yurdusen},
journal= {arXiv preprint arXiv:0711.0753},
year = {2016}
}
Comments
7 pages