Integrable and superintegrable systems with spin

Details Integrable and superintegrable systems with spin Integrable and superintegrable systems with spin

2006-04-21

arxiv.org/abs/math-ph/0604050v2

J. Math. Phys. 47, 103509 (2006) (10 pages)

Physics

Mathematical Physics

12 pages

Scientific paper

10.1063/1.2360042

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.

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