Integrable and superintegrable systems with spin
Mathematical Physics
2009-11-11 v2 math.MP
Abstract
A system of two particles with spin s=0 and s=1/2 respectively, moving in a plane is considered. It is shown that such a system with a nontrivial spin-orbit interaction can allow an 8 dimensional Lie algebra of first-order integrals of motion. The Pauli equation is solved in this superintegrable case and reduced to a system of ordinary differential equations when only one first-order integral exists.
Cite
@article{arxiv.math-ph/0604050,
title = {Integrable and superintegrable systems with spin},
author = {P. Winternitz and I. Yurdusen},
journal= {arXiv preprint arXiv:math-ph/0604050},
year = {2009}
}
Comments
12 pages