TY - GEN
T1 - The isotropic hamiltonian formalism
AU - Vaisman, Izu
PY - 2011
Y1 - 2011
N2 - 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.
AB - 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.
KW - Courant bracket
KW - Hamiltonian vector field
KW - geometric quantization
KW - reduction
UR - http://www.scopus.com/inward/record.url?scp=79952557909&partnerID=8YFLogxK
U2 - 10.1063/1.3559176
DO - 10.1063/1.3559176
M3 - Conference contribution
AN - SCOPUS:79952557909
SN - 9780735408845
T3 - AIP Conference Proceedings
SP - 264
EP - 280
BT - "Alexandru Myller" Mathematical Seminar - Proceedings of the Centennial Conference
T2 - 100th Conference on "Alexandru Myller" Mathematical Seminar
Y2 - 21 June 2010 through 26 June 2010
ER -