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

 

Guardado en:
Bibliografiske detaljer
Autores: Gracia Bondía, José M., Várilly Boyle, Joseph C.
Format: artículo original
Fecha de Publicación:1988
Beskrivelse: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.
País:Kérwá
Institution:Universidad de Costa Rica
Repositorio:Kérwá
Sprog:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/86461
Online adgang:https://aip.scitation.org/doi/10.1063/1.528200
https://hdl.handle.net/10669/86461
Palabra clave:Quantum mechanics in phase space
Moyal product
Tempered distributions