General moment invariants for linear Hamiltonian systems

Dragt, Alex J. ; Neri, Filippo ; Rangarajan, Govindan (1992) General moment invariants for linear Hamiltonian systems Physical Review A, 45 (4). pp. 2572-2585. ISSN 1050-2947

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Official URL: http://pra.aps.org/abstract/PRA/v45/i4/p2572_1

Related URL: http://dx.doi.org/10.1103/PhysRevA.45.2572

Abstract

This paper studies the behavior of the moments of a particle distribution as it is transported through a Hamiltonian system. Functions of moments that remain invariant for an arbitrary linear Hamiltonian system are constructed. These functions remain approximately invariant for Hamiltonian systems that are not strongly nonlinear. Consequently, they can be used to characterize the degree of nonlinearity of the system.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:73188
Deposited On:02 Dec 2011 08:46
Last Modified:02 Dec 2011 08:46

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