Distinguished Hamiltonian theorem for homogeneous symplectic manifolds

 

Tallennettuna:
Bibliografiset tiedot
Tekijät: Cariñena Marzo, José F., Gracia Bondía, José M., Ibort Latre, Luis Alberto, López, Carlos, Várilly Boyle, Joseph C.
Aineistotyyppi: artículo original
Julkaisupäivä:1991
Kuvaus: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.
Maa:Kérwá
Organisaatio:Universidad de Costa Rica
Repositorio:Kérwá
Kieli:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/87298
Linkit:https://link.springer.com/article/10.1007/BF01811292
https://hdl.handle.net/10669/87298
Sanahaku:geometría simpléctica
Hamiltoniano cuadrático
GEOMETRÍA
Variedad de Kähler