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arxiv: 1106.4480 · v1 · pith:DULJHZRUnew · submitted 2011-06-22 · 🧮 math-ph · math.MP

Integrable relativistic systems given by Hamiltonians with momentum-spin-orbit coupling

classification 🧮 math-ph math.MP
keywords couplinghamiltonianmomentum-spin-orbitrelativistictermscontainingcorrespondingdefined
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In the paper we investigate the 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.

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