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Your search keyword '"Brooke, James"' showing total 2 results
Start Over Author "Brooke, James" Journal international journal of theoretical physics
2 results on '"Brooke, James"'

1. Classical Mechanics in Hilbert Space, Part 1.

Author

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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2. Classical Mechanics in Hilbert Space, Part 2.

Author

Beneduci, Roberto, Brooke, James, Curran, Ray, and Schroeck, Franklin

Subjects
*HILBERT space, *QUANTUM theory, *HAMILTONIAN systems, *SYMPLECTIC spaces, *LORENTZ groups, *LIE groups, *MECHANICS (Physics), *PHASE space
Abstract

We continue from Part 1. We will illustrate the general theory of Hamiltonian mechanics in the Lie group formalism. We then obtain the Hamiltonian formalism in the Hilbert spaces of square integrable functions on the symplectic spaces. We illustrate this general theory with several concrete examples, two of which are the representations of the Lorentz group and the Poincaré group with interactions. [ABSTRACT FROM AUTHOR]

Published
2011
Full Text
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