Second-Order Integrals for Systems in E-2 Involving Spin


Yurdusen I.

ADVANCES IN MATHEMATICAL PHYSICS, 2015 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2015
  • Doi Number: 10.1155/2015/952646
  • Title of Journal : ADVANCES IN MATHEMATICAL PHYSICS

Abstract

In two-dimensional Euclidean plane, existence of second-order integrals of motion is investigated for integrable Hamiltonian systems involving spin (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.