English

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

Mathematical Physics 2018-09-19 v2 math.MP

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.

Keywords

Cite

@article{arxiv.1407.4327,
  title  = {Second-order integrals for systems in $E_2$ involving spin},
  author = {Ismet Yurdusen},
  journal= {arXiv preprint arXiv:1407.4327},
  year   = {2018}
}

Comments

11 pages

R2 v1 2026-06-22T05:05:27.297Z