Distinguished Hamiltonian theorem for homogeneous symplectic manifolds

 

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Bibliographic Details
Authors: Cariñena Marzo, José F., Gracia Bondía, José M., Ibort Latre, Luis Alberto, López, Carlos, Várilly Boyle, Joseph C.
Format: artículo original
Publication Date:1991
Description:A diffeomorphism of a finite-dimensional flat symplectic manifold which is canonoid with respect to all linear and quadratic Hamiltonians preserves the symplectic structure up to a factor: so runs the "quadratic Hamiltonian theorem". Here we show that the same conclusion holds for much smaller "sufficiency subsets" of quadratic Hamiltonians, and the theorem may thus be extended to homogeneous infinite-dimensional symplectic manifolds. In this way we identify the distinguished Hamiltonians for the Kähler manifold of equivalent quantizations of a Hilbertizable symplectic space.
Country:Kérwá
Institution:Universidad de Costa Rica
Repositorio:Kérwá
Language:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/87298
Online Access:https://link.springer.com/article/10.1007/BF01811292
https://hdl.handle.net/10669/87298
Keyword:geometría simpléctica
Hamiltoniano cuadrático
GEOMETRÍA
Variedad de Kähler