QUANTUM STOCHASTIC PROCESSES: BOSON AND FERMION BROWNIAN MOTION

QUANTUM STOCHASTIC PROCESSES: BOSON AND FERMION BROWNIAN MOTION

Dynamics of quantum systems which are stochastically perturbed by linear coupling to the reservoir can be studied in terms of quantum stochastic differential equations (for example, quantum stochastic Liouville equation and quantum Langevin equation). In order to work it out one needs to define the...

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Main Authors: A.E.Kobryn, T.Hayashi, T.Arimitsu
Format: Article
Language:English
Published: Institute for Condensed Matter Physics 2003-01-01
Series:Condensed Matter Physics
Subjects:
stochastic processes
boson Brownian motion
fermion Brownian motion
Online Access:http://dx.doi.org/10.5488/CMP.6.4.637
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spelling doaj-2d9c3304e9c04007bb322e89d2d0d0572020-11-25T01:45:42ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2003-01-016463764610.5488/CMP.6.4.637QUANTUM STOCHASTIC PROCESSES: BOSON AND FERMION BROWNIAN MOTIONA.E.KobrynT.HayashiT.ArimitsuDynamics of quantum systems which are stochastically perturbed by linear coupling to the reservoir can be studied in terms of quantum stochastic differential equations (for example, quantum stochastic Liouville equation and quantum Langevin equation). In order to work it out one needs to define the quantum Brownian motion. As far as only its boson version has been known until recently, in the present paper we present the definition which makes it possible to consider the fermion Brownian motion as well.http://dx.doi.org/10.5488/CMP.6.4.637stochastic processesboson Brownian motionfermion Brownian motion
collection DOAJ
language English
format Article
sources DOAJ
author A.E.Kobryn
T.Hayashi
T.Arimitsu
spellingShingle A.E.Kobryn
T.Hayashi
T.Arimitsu
QUANTUM STOCHASTIC PROCESSES: BOSON AND FERMION BROWNIAN MOTION
Condensed Matter Physics
stochastic processes
boson Brownian motion
fermion Brownian motion
author_facet A.E.Kobryn
T.Hayashi
T.Arimitsu
author_sort A.E.Kobryn
title QUANTUM STOCHASTIC PROCESSES: BOSON AND FERMION BROWNIAN MOTION
title_short QUANTUM STOCHASTIC PROCESSES: BOSON AND FERMION BROWNIAN MOTION
title_full QUANTUM STOCHASTIC PROCESSES: BOSON AND FERMION BROWNIAN MOTION
title_fullStr QUANTUM STOCHASTIC PROCESSES: BOSON AND FERMION BROWNIAN MOTION
title_full_unstemmed QUANTUM STOCHASTIC PROCESSES: BOSON AND FERMION BROWNIAN MOTION
title_sort quantum stochastic processes: boson and fermion brownian motion
publisher Institute for Condensed Matter Physics
series Condensed Matter Physics
issn 1607-324X
publishDate 2003-01-01
description Dynamics of quantum systems which are stochastically perturbed by linear coupling to the reservoir can be studied in terms of quantum stochastic differential equations (for example, quantum stochastic Liouville equation and quantum Langevin equation). In order to work it out one needs to define the quantum Brownian motion. As far as only its boson version has been known until recently, in the present paper we present the definition which makes it possible to consider the fermion Brownian motion as well.
topic stochastic processes
boson Brownian motion
fermion Brownian motion
url http://dx.doi.org/10.5488/CMP.6.4.637
work_keys_str_mv AT aekobryn quantumstochasticprocessesbosonandfermionbrownianmotion
AT thayashi quantumstochasticprocessesbosonandfermionbrownianmotion
AT tarimitsu quantumstochasticprocessesbosonandfermionbrownianmotion
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