1. Classical Mechanics in Hilbert Space, Part 1.
- Author
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Beneduci, Roberto, Brooke, James, Curran, Ray, and Schroeck, Franklin
- Subjects
- *
HILBERT space , *LIE algebras , *HAMILTONIAN systems , *SYMPLECTIC spaces , *FUNCTIONAL analysis , *ALGORITHMS , *QUANTUM theory , *MATHEMATICAL analysis - Abstract
We consider the Hamilton formulation as well as the Hamiltonian flows on a symplectic (phase) space. These symplectic spaces are derivable from the Lie group of symmetries of the physical system considered. In Part 2 of this work, we then obtain the Hamiltonian formalism in the Hilbert spaces of square integrable functions on the symplectic spaces so obtained. [ABSTRACT FROM AUTHOR]
- Published
- 2011
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