Non-Markovian quantal Brownian motion model

A non-Markovian version of the quantal Brownian motion model is given. The integrodifferential equations of motion are solved, establishing the analytic form of the resolvent poles and analyzing their properties. An explicit investigation of the poles at zero temperature is performed. In this frame...

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Autores principales: Cataldo, Horacio Máximo, Hernández, Ester Susana
Publicado: 1988
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224715_v50_n1-2_p383_Cataldo
http://hdl.handle.net/20.500.12110/paper_00224715_v50_n1-2_p383_Cataldo
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spelling paper:paper_00224715_v50_n1-2_p383_Cataldo2023-06-08T14:50:57Z Non-Markovian quantal Brownian motion model Cataldo, Horacio Máximo Hernández, Ester Susana Non-Markovian master equation non-Markovian/Markovian frequency relation resolvent poles zero temperature A non-Markovian version of the quantal Brownian motion model is given. The integrodifferential equations of motion are solved, establishing the analytic form of the resolvent poles and analyzing their properties. An explicit investigation of the poles at zero temperature is performed. In this frame a rule can be found that relates the relevant poles of the non-Markovian resolvent to the eigenvalues of the associated Markovian generator of the motion. © 1988 Plenum Publishing Corporation. Fil:Cataldo, H.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Hernández, E.S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1988 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224715_v50_n1-2_p383_Cataldo http://hdl.handle.net/20.500.12110/paper_00224715_v50_n1-2_p383_Cataldo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Non-Markovian master equation
non-Markovian/Markovian frequency relation
resolvent poles
zero temperature
spellingShingle Non-Markovian master equation
non-Markovian/Markovian frequency relation
resolvent poles
zero temperature
Cataldo, Horacio Máximo
Hernández, Ester Susana
Non-Markovian quantal Brownian motion model
topic_facet Non-Markovian master equation
non-Markovian/Markovian frequency relation
resolvent poles
zero temperature
description A non-Markovian version of the quantal Brownian motion model is given. The integrodifferential equations of motion are solved, establishing the analytic form of the resolvent poles and analyzing their properties. An explicit investigation of the poles at zero temperature is performed. In this frame a rule can be found that relates the relevant poles of the non-Markovian resolvent to the eigenvalues of the associated Markovian generator of the motion. © 1988 Plenum Publishing Corporation.
author Cataldo, Horacio Máximo
Hernández, Ester Susana
author_facet Cataldo, Horacio Máximo
Hernández, Ester Susana
author_sort Cataldo, Horacio Máximo
title Non-Markovian quantal Brownian motion model
title_short Non-Markovian quantal Brownian motion model
title_full Non-Markovian quantal Brownian motion model
title_fullStr Non-Markovian quantal Brownian motion model
title_full_unstemmed Non-Markovian quantal Brownian motion model
title_sort non-markovian quantal brownian motion model
publishDate 1988
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224715_v50_n1-2_p383_Cataldo
http://hdl.handle.net/20.500.12110/paper_00224715_v50_n1-2_p383_Cataldo
work_keys_str_mv AT cataldohoraciomaximo nonmarkovianquantalbrownianmotionmodel
AT hernandezestersusana nonmarkovianquantalbrownianmotionmodel
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