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

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

2011-06-22

arxiv.org/abs/1106.4480v1

Physics

Mathematical Physics

18 pages

Scientific paper

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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