Logo Kérwá
 

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

Loading...
Thumbnail Image

Authors

Gracia Bondía, José M.
Várilly Boyle, Joseph C.

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

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.

Description

Keywords

Quantum mechanics in phase space, Moyal product, Tempered distributions

Citation

https://aip.scitation.org/doi/10.1063/1.528200

Collections

Endorsement

Review

Supplemented By

Referenced By