arXiv:math-ph/0604050AbstractReferencesReviewsResources
Integrable and superintegrable systems with spin
Published 2006-04-21, updated 2007-11-05Version 2
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.
Comments: 12 pages
Journal: J. Math. Phys. 47, 103509 (2006) (10 pages)
DOI: 10.1063/1.2360042
Keywords: superintegrable systems, first-order integral, ordinary differential equations, nontrivial spin-orbit interaction, dimensional lie algebra
Tags: journal article
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