Particle-reservoir correlations in quantal Brownian motion
A general study of particle-reservoir correlations in quantal Brownian motion is developed. The non-Markovian character of the analysis requires the application of analytic continuation techniques which yield as a remarkable result general formulae for the analytic continuation of the reduced weak-c...
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todo:paper_03784371_v195_n1-2_p223_Cataldo2023-10-03T15:32:25Z Particle-reservoir correlations in quantal Brownian motion Cataldo, H.M. A general study of particle-reservoir correlations in quantal Brownian motion is developed. The non-Markovian character of the analysis requires the application of analytic continuation techniques which yield as a remarkable result general formulae for the analytic continuation of the reduced weak-coupling collision operator. The study focuses upon the mean value of the interaction energy which is shown to evolve according to the particle relaxation frequencies in addition to a set of non-Markovian correlation frequencies. The formalism is applied to a spin j coupled to a magnetic field and in contact (weak-coupling) to a phonon reservoir showing that (i) the reservoir coordinates generally fluctuate on an average in opposite direction to the spin angular momentum and (ii) the set of non-Markovian correlation frequencies is absent. © 1993. Fil:Cataldo, H.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03784371_v195_n1-2_p223_Cataldo |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
A general study of particle-reservoir correlations in quantal Brownian motion is developed. The non-Markovian character of the analysis requires the application of analytic continuation techniques which yield as a remarkable result general formulae for the analytic continuation of the reduced weak-coupling collision operator. The study focuses upon the mean value of the interaction energy which is shown to evolve according to the particle relaxation frequencies in addition to a set of non-Markovian correlation frequencies. The formalism is applied to a spin j coupled to a magnetic field and in contact (weak-coupling) to a phonon reservoir showing that (i) the reservoir coordinates generally fluctuate on an average in opposite direction to the spin angular momentum and (ii) the set of non-Markovian correlation frequencies is absent. © 1993. |
| format |
JOUR |
| author |
Cataldo, H.M. |
| spellingShingle |
Cataldo, H.M. Particle-reservoir correlations in quantal Brownian motion |
| author_facet |
Cataldo, H.M. |
| author_sort |
Cataldo, H.M. |
| title |
Particle-reservoir correlations in quantal Brownian motion |
| title_short |
Particle-reservoir correlations in quantal Brownian motion |
| title_full |
Particle-reservoir correlations in quantal Brownian motion |
| title_fullStr |
Particle-reservoir correlations in quantal Brownian motion |
| title_full_unstemmed |
Particle-reservoir correlations in quantal Brownian motion |
| title_sort |
particle-reservoir correlations in quantal brownian motion |
| url |
http://hdl.handle.net/20.500.12110/paper_03784371_v195_n1-2_p223_Cataldo |
| work_keys_str_mv |
AT cataldohm particlereservoircorrelationsinquantalbrownianmotion |
| _version_ |
1807315020826017792 |