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

 

Αποθηκεύτηκε σε:
Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφείς: Gracia Bondía, José M., Várilly Boyle, Joseph C.
Μορφή: artículo original
Ημερομηνία έκδοσης:1988
Περιγραφή: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.
Χώρα:Kérwá
Ίδρυμα:Universidad de Costa Rica
Repositorio:Kérwá
Γλώσσα:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/86461
Διαθέσιμο Online:https://aip.scitation.org/doi/10.1063/1.528200
https://hdl.handle.net/10669/86461
Λέξη-Κλειδί :Quantum mechanics in phase space
Moyal product
Tempered distributions