Second-order integrals for systems in $E_2$ involving spin
Ismet Yurdusen
TL;DR
This paper investigates the existence of second-order integrals of motion in two-dimensional Euclidean systems involving spin and concludes that no nontrivial second-order integrals exist for such systems.
Contribution
It provides a proof that no nontrivial second-order integrals of motion exist for 2D Euclidean systems with spin, clarifying the limitations of symmetries in these systems.
Findings
No nontrivial second-order integrals found for systems with spin
Results apply to systems describing interactions between particles with different spins
Clarifies symmetry constraints in 2D Euclidean spin systems
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.