On Wigner functions and a damped star product in dissipative phase-space quantum mechanics

Simple item page
dc.creatorBelchev, B.
dc.creatorWalton, M. A.
dc.date2008-10-21
dc.date.accessioned2026-07-07T12:55:54Z
dc.date.available2026-07-07T12:55:54Z
dc.descriptionDito and Turrubiates recently introduced an interesting model of the dissipative quantum mechanics of a damped harmonic oscillator in phase space. Its key ingredient is a non-Hermitian deformation of the Moyal star product with the damping constant as deformation parameter. We compare the Dito-Turrubiates scheme with phase-space quantum mechanics (or deformation quantization) based on other star products, and extend it to incorporate Wigner functions. The deformed (or damped) star product is related to a complex Hamiltonian, and so necessitates a modified equation of motion involving complex conjugation. We find that with this change the Wigner function satisfies the classical equation of motion. This seems appropriate since non-dissipative systems with quadratic Hamiltonians share this property.
dc.description19 pages, no figures, accepted by Annals of Physics
dc.identifierhttps://arxiv.org/abs/0810.3893
dc.identifierhttp://arxiv.org/abs/0810.3893
dc.identifierAnn. Phys. 324 (2009) 670-681
dc.identifierdoi:10.1016/j.aop.2008.10.009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224412
dc.subjectQuantum Physics
dc.titleOn Wigner functions and a damped star product in dissipative phase-space quantum mechanics
dc.typetext

Files

Collections

arXiv