Second-order integrals for systems in [E.sub.2] involving spin

Second-order integrals for systems in [E.sub.2] involving spin

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 integr...

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Veröffentlicht in:Advances in Mathematical Physics 2015-01
1. Verfasser: Yurdusen, Ismet
Format: Artikel
Sprache:eng
Schlagworte:
Hamiltonian systems
Integrals
Particle spin
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Zusammenfassung: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.
ISSN:1687-9120
DOI:10.1155/2015/952646