{ "id": "quant-ph/0607085", "version": "v2", "published": "2006-07-13T20:01:16.000Z", "updated": "2006-09-05T20:00:26.000Z", "title": "Master equation for a quantum particle in a gas", "authors": [ "Klaus Hornberger" ], "comment": "5 pages; published version", "journal": "Phys. Rev. Lett. 97, 060601 (2006)", "doi": "10.1103/PhysRevLett.97.060601", "categories": [ "quant-ph" ], "abstract": "The equation for the quantum motion of a Brownian particle in a gaseous environment is derived by means of S-matrix theory. This quantum version of the linear Boltzmann equation accounts non-perturbatively for the quantum effects of the scattering dynamics and describes decoherence and dissipation in a unified framework. As a completely positive master equation it incorporates both the known equation for an infinitely massive Brownian particle and the classical linear Boltzmann equation as limiting cases.", "revisions": [ { "version": "v2", "updated": "2006-09-05T20:00:26.000Z" } ], "analyses": { "keywords": [ "master equation", "quantum particle", "classical linear boltzmann equation", "linear boltzmann equation accounts", "massive brownian particle" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }