Quantum dynamics of a dissipative and confined cyclotron motion

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10289316" target="_blank" >RIV/00216208:11320/14:10289316 - isvavai.cz</a>

Result on the web

<a href="http://www.sciencedirect.com/science/article/pii/S0378437113007966" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0378437113007966</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.physa.2013.08.046" target="_blank" >10.1016/j.physa.2013.08.046</a>

Result language

angličtina

Original language name

Quantum dynamics of a dissipative and confined cyclotron motion

Original language description

We study the dissipative dynamics of a charged oscillator in a magnetic field by coupling (a la Caldeira and Leggett) it to a heat bath consisting of non-interacting harmonic oscillators. We derive here the autocorrelation functions of the position and momentum and study its behavior at various limiting situations. The equilibrium (steady state) dispersions of position and momentum are obtained from their respective autocorrelation functions. We analyze the equilibrium position and momentum dispersionsat low and high temperatures for both low and high magnetic field strengths. We obtain the classical diffusive behavior (at long times) as well as the equilibrium momentum dispersion of the free quantum charged particle in a magnetic field, in the limitof vanishing oscillator potential coo. We establish the relations between the reduced partition function and the equilibrium dispersions of the dissipative and confined cyclotron problem. (C) 2013 Elsevier B.V. All rights reserved.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BE - Theoretical physics

OECD FORD branch

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Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2014

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Physica A: Statistical Mechanics and its Applications

ISSN

0378-4371

e-ISSN

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Volume of the periodical

393

Issue of the periodical within the volume

Neuveden

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

25

Pages from-to

182-206

UT code for WoS article

000328179200015

EID of the result in the Scopus database

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