Integrable Relativistic Systems Given by Hamiltonians with Momentum-spin-orbit Coupling

    2012, Volume 17, Number 6, pp.  492-505

    Author(s): Dobrogowska A., Odzijewicz A.

    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



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