Integrable and superintegrable systems with spin

被引：32
|
作者：
Winternitz, Pavel [1 ]
Yurdusen, Ismet [1 ]
机构：
[1] Univ Montreal, Ctr Rech Math, Montreal, PQ H3C 3J7, Canada
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2006年 / 47卷 / 10期
基金：
加拿大自然科学与工程研究理事会;
关键词：
SYMMETRIES;
D O I：
10.1063/1.2360042
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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 eight 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. (c) 2006 American Institute of Physics.
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页数：10
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