2004•Modern Physics Letters ARequires access

INTEGRABILITY AND ACTION FUNCTION IN MULTI-HAMILTONIAN SYSTEMS

Sami I. Muslih

Abstract

Multi-Hamiltonian systems are investigated by using the Hamilton–Jacobi method. Integration of a set of total differential equations which includes the equations of motion and the action integral function is discussed. It is shown that this set is integrable if and only if the total variations of the Hamiltonians vanish. Two examples are studied.

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Key concepts: Integrable system, Physics, Hamiltonian (control theory), Mathematical physics, Hamiltonian system, Hamilton–Jacobi equation, Action (physics), Equations of motion