Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published 1975 | Published
Book Section - Chapter Open

Some basic properties of infinite dimensional Hamiltonian systems

Abstract

We consider some fundamental properties of infinite dimensional Hamiltonian systems, both linear and nonlinear. For exemple, in the case of linear systems, we prove a symplectic version of the teorem of M. Stone. In the general case we establish conservation of energy and the moment function for system with symmetry. (The moment function was introduced by B. Kostant and J .M. Souriau). For infinite dimensional systems these conservation laws are more delicate than those for finite dimensional systems because we are dealing with partial as opposed to ordinary differential equations.

Additional Information

© 1975, Partially supported by NSF grants GP-30798X, GP-15735, and the University of California committee on research.

Attached Files

Published - ChMa1976.pdf

Files

ChMa1976.pdf
Files (5.2 MB)
Name Size Download all
md5:c064cb4f078b75d1b08def8e0d3203e8
5.2 MB Preview Download

Additional details

Created:
August 19, 2023
Modified:
January 13, 2024