Deformation quantization of noncommutative quantum mechanics and dissipation

• Type: Article in International Conference Proceedings Book
• Date: 2007

Authors

Bastos, C (Author) Other; Bertolami, O (Author) Other; Dias, NC (Author) Other; Prata, JN (Author) Other

Conference proceedings International

Title: THIRD INTERNATIONAL WORKSHOP DICE2006 - QUANTUM MECHANICS BETWEEN DECOHERENCE AND DETERMINISM: NEW ASPECTS FROM PARTICLE PHYSICS TO COSMOLOGY - CONTRIBUTED PAPERS

Final page: 012058

3rd International Workshop DICE2006 - Quantum Mechanics between Decoherence and Determinism

Tuscany, ITALY, SEP 11-15, 2006

Indexing

ISI Web of Knowledge - 7 Citations

Scopus - 4 Citations

Scientific classification

FOS: Natural sciences > Physical sciences

Other information

Authenticus ID: P-004-EQS

DOI: 10.1088/1742-6596/67/1/012058

Abstract (EN): We review the main features of the Weyl-Wigner formulation of noncommutative quantum mechanics. In particular, we present a star-product and a Moyal bracket suitable for this theory as well as the concept of noncommutative Wigner function. The properties of these quasi-distributions are discussed as well as their relation to the sets of ordinary Wigner functions and positive Lionville probability densities. Based on these notions we propose criteria for assessing whether a commutative regime has emerged in the realm of noncommutative quantum mechanics. To induce this noncommutative-commutative transition, we couple a particle to an external bath of oscillators. The master equation for the Brownian particle is deduced.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6