Integrable and superintegrable systems with spin


Winternitz P., Yurdusen İ.

JOURNAL OF MATHEMATICAL PHYSICS, cilt.47, 2006 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 47 Konu: 10
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1063/1.2360042
  • Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS

Özet

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.