In the paper we investigate evolution of the relativistic particle (massive and massless) with spin defined by Hamiltonian containing the terms with momentum-spin-orbit coupling. We integrate the corresponding Hamiltonian equations in quadratures and express their solutions in terms of elliptic functions.
Keywords:
bi-Hamiltonian, integrable systems, relativistic particle, twistor space
Citation:
Dobrogowska A., Odzijewicz A., Integrable Relativistic Systems Given by Hamiltonians with Momentum-spin-orbit Coupling, Regular and Chaotic Dynamics,
2012, Volume 17, Number 6,
pp. 492-505