Algebras of distributions suitable for phase‐space quantum mechanics. I

 

Gorde:
Xehetasun bibliografikoak
Egileak: Gracia Bondía, José M., Várilly Boyle, Joseph C.
Formatua: artículo original
Argitaratze data:1988
Deskribapena:The twisted product of functions on R^2N is extended to a *-algebra of tempered distributions which contains the rapidly decreasing smooth functions, the distributions of compact support, and all polynomials, and moreover is invariant under the Fourier transformation. The regularity properties of the twisted product are investigated. A matrix presentation of the twisted product is given, with respect to an appropriate orthonormal basis, which is used to construct a family of Banach algebras under this product.
Herria:Kérwá
Erakundea:Universidad de Costa Rica
Repositorio:Kérwá
Hizkuntza:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/86461
Sarrera elektronikoa:https://aip.scitation.org/doi/10.1063/1.528200
https://hdl.handle.net/10669/86461
Gako-hitza:Quantum mechanics in phase space
Moyal product
Tempered distributions