The isotropic hamiltonian formalism

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Abstract

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.

Original languageEnglish
Title of host publication"Alexandru Myller" Mathematical Seminar - Proceedings of the Centennial Conference
Pages264-280
Number of pages17
DOIs
StatePublished - 2011
Event100th Conference on "Alexandru Myller" Mathematical Seminar - Iasi, Romania
Duration: 21 Jun 201026 Jun 2010

Publication series

NameAIP Conference Proceedings
Volume1329
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference100th Conference on "Alexandru Myller" Mathematical Seminar
Country/TerritoryRomania
CityIasi
Period21/06/1026/06/10

Keywords

  • Courant bracket
  • geometric quantization
  • Hamiltonian vector field
  • reduction

ASJC Scopus subject areas

  • Physics and Astronomy (all)

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