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

 

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون: Gracia Bondía, José M., Várilly Boyle, Joseph C.
التنسيق: artículo original
تاريخ النشر:1988
الوصف: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.
البلد:Kérwá
المؤسسة:Universidad de Costa Rica
Repositorio:Kérwá
اللغة:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/86461
الوصول للمادة أونلاين:https://aip.scitation.org/doi/10.1063/1.528200
https://hdl.handle.net/10669/86461
كلمة مفتاحية:Quantum mechanics in phase space
Moyal product
Tempered distributions