Second-order integrals for systems in $E_2$ involving spin

Abstract

In two-dimensional Euclidean plane, existence of second-order integrals of motion is investigated for integrable Hamiltonian systems involving spin (\emph{e.g.,} those systems describing interaction between two particles with spin 0 and spin 1/2) and it has been shown that no nontrivial second-order integrals of motion exist for such systems.

11 pages

References in corpus (4)

• Classical and Quantum Superintegrability with Applications
• Integrable and superintegrable systems with spin
• Superintegrable systems with spin and second-order integrals of motion
• Laplace-Runge-Lenz vector for arbitrary spin

Cited by in corpus (1)

• Superintegrable systems with spin and second-order (pseudo)tensor integrals of motion