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Properties of Infinite Dimensional Hamiltonian Systems
Posted on 2010-04-09
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More In this paper we shall give a few results taken from our forthcoming work. We have chosen some theorems concerning the fundamental properties of Hamiltonian systems. Some examples have been given elsewhere; see for instance. It is evident that the notion of a Hamiltonian system plays a fundamental role in mathematical physics. One needs only to recall a few examples: classical mechanics, classical field theory (e.g. wave equations--both linear and nonlinear, Maxwell's equations, etc.), quantum mechanics, hydrodynamics of a perfect fluid, and general relativity. In view of this, it is useful to set down some of the fundamental properties of such systems, both linear and non-linear. My Links To thank me use my links, please!
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