Quantum dynamics of a dissipative and confined cyclotron motion

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Quantum dynamics of a dissipative and confined cyclotron motion

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Quantum dynamics of a dissipative and confined cyclotron motion

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BE - Teoretická fyzika

OECD FORD obor

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Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2014

Kód důvěrnosti údajů

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

Název periodika

Physica A: Statistical Mechanics and its Applications

ISSN

0378-4371

e-ISSN

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Svazek periodika

393

Číslo periodika v rámci svazku

Neuveden

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

25

Strana od-do

182-206

Kód UT WoS článku

000328179200015

EID výsledku v databázi Scopus

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