The isotropic Hamiltonian formalism

Journal Article · Thu Feb 10 00:00:00 EST 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3559176· OSTI ID:21511465

Vaisman, Izu ^[1]

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1. Department of Mathematics, University of Haifa (Israel)

A Hamiltonian formalism is a procedure that allows to associate a dynamical system to a function and that includes classical Hamiltonian mechanics as a particular case. The present, expository paper gives a survey of the Hamiltonian formalism defined by an isotropic subbundle of TM+T*M, in particular, by a Dirac structure. We discuss reduction and geometric quantization of the Hamiltonian dynamical systems provided by this formalism.

• OSTI ID: 21511465
• Journal Information: AIP Conference Proceedings, Vol. 1329, Issue 1; Conference: Alexandru Myller mathematical seminar centennial conference, Iasi (Romania), 21-26 Jun 2010; Other Information: DOI: 10.1063/1.3559176; (c) 2011 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
FUNCTIONAL ANALYSIS
HAMILTONIANS
INTEGRAL EQUATIONS
LIE GROUPS
QUANTIZATION
REDUCTION
SYMMETRY
CHEMICAL REACTIONS
EQUATIONS
MATHEMATICAL OPERATORS
MATHEMATICS
QUANTUM OPERATORS
SYMMETRY GROUPS