Research PapersNo Access

INTEGRABILITY AND ACTION FUNCTION IN MULTI-HAMILTONIAN SYSTEMS

S. I. MUSLIH

Department of Physics, Al-Azhar University-Gaza, Palestine

International Center for Theoretical Physics (ICTP), Trieste, Italy

https://doi.org/10.1142/S0217732304013751Cited by:5 (Source: Crossref)

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.

Keywords:

PACS: 11.10.Ef, 02.30.IK

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