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JOURNALS // Regular and Chaotic Dynamics // Archive

Regul. Chaotic Dyn., 2012 Volume 17, Issue 6, Pages 492–505 (Mi rcd417)

This article is cited in 4 papers

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

Alina Dobrogowska, Anatol Odzijewicz

Institute of Mathematics, University of Bialystok, Lipowa 41, 15-424 Bialystok, Poland

Abstract: 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.

MSC: 70h06, 83C60, 37J15

Received: 06.03.2012
Accepted: 10.10.2012

Language: English

DOI: 10.1134/S1560354712060020



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