Phase Coherence in Quantum Brownian Motion

The quantum theory of Brownian motion is discussed in the Schwinger version wherein the notion of a coordinate moving forward in time \(x(t)\) is replaced by two coordinates, \(x_+(t)\) moving forward in time and \(x_-(t)\) moving backward in time. The role of the doubling of the degrees of freedom...

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Veröffentlicht in:arXiv.org 1997-07
Hauptverfasser: Blasone, M, Srivastava, Y N, Vitiello, G, Widom, A
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Vitiello, G
Widom, A
description The quantum theory of Brownian motion is discussed in the Schwinger version wherein the notion of a coordinate moving forward in time \(x(t)\) is replaced by two coordinates, \(x_+(t)\) moving forward in time and \(x_-(t)\) moving backward in time. The role of the doubling of the degrees of freedom is illustrated for the case of electron beam two slit diffraction experiments. Interference is computed with and without dissipation (described by a thermal bath). The notion of a dissipative interference phase, closely analogous to the Aharonov-Bohm magnetic field induced phase, is explored.
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The role of the doubling of the degrees of freedom is illustrated for the case of electron beam two slit diffraction experiments. Interference is computed with and without dissipation (described by a thermal bath). The notion of a dissipative interference phase, closely analogous to the Aharonov-Bohm magnetic field induced phase, is explored.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.9707048</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Brownian motion ; Electron beams ; Interference ; Phase coherence ; Quantum theory ; Thermal baths</subject><ispartof>arXiv.org, 1997-07</ispartof><rights>1997. This work is published under https://arxiv.org/licenses/assumed-1991-2003/license.html (the “License”). 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subjects Brownian motion
Electron beams
Interference
Phase coherence
Quantum theory
Thermal baths
title Phase Coherence in Quantum Brownian Motion
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