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

Abstract

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.

18 pages

References in corpus (1)

• Integrable Hamiltonian systems related to the Hilbert--Schmidt ideal

Cited by in corpus (2)

• Integrable Systems Related to Deformed $\mathfrak{so}(5)$
• Lie bundle on the space of deformed skew-symmetric matrices