Minimal irreversible quantum mechanics. The decay of unstable states

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Brownian motion is modelled by a harmonic oscillator (Brownian particle) interacting with a continuous set of uncoupled harmonic oscillators. The interaction is linear in the coordinates and the momenta. The model has an analytical solution that is used to study the time evolution of the reduced den...

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Detalles Bibliográficos
Autores principales: Arbó, D.G., Castagnino, M.A., Gaioli, F.H., Iguri, S.
Formato: JOUR
Materias:
Brownian movement
Mathematical models
Mathematical operators
Numerical analysis
Probability density function
Harmonic oscillator
Reduced density operator
Quantum theory
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03784371_v277_n3_p469_Arbo
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_03784371_v277_n3_p469_Arbo
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spelling todo:paper_03784371_v277_n3_p469_Arbo2023-10-03T15:32:33Z Minimal irreversible quantum mechanics. The decay of unstable states Arbó, D.G. Castagnino, M.A. Gaioli, F.H. Iguri, S. Brownian movement Mathematical models Mathematical operators Numerical analysis Probability density function Harmonic oscillator Reduced density operator Quantum theory Brownian motion is modelled by a harmonic oscillator (Brownian particle) interacting with a continuous set of uncoupled harmonic oscillators. The interaction is linear in the coordinates and the momenta. The model has an analytical solution that is used to study the time evolution of the reduced density operator. It is derived in a closed form, in the one-particle sector of the model. The irreversible behavior of the Brownian particle is described by a reduced density matrix. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03784371_v277_n3_p469_Arbo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Brownian movement
Mathematical models
Mathematical operators
Numerical analysis
Probability density function
Harmonic oscillator
Reduced density operator
Quantum theory
spellingShingle Brownian movement
Mathematical models
Mathematical operators
Numerical analysis
Probability density function
Harmonic oscillator
Reduced density operator
Quantum theory
Arbó, D.G.
Castagnino, M.A.
Gaioli, F.H.
Iguri, S.
Minimal irreversible quantum mechanics. The decay of unstable states
topic_facet Brownian movement
Mathematical models
Mathematical operators
Numerical analysis
Probability density function
Harmonic oscillator
Reduced density operator
Quantum theory
description Brownian motion is modelled by a harmonic oscillator (Brownian particle) interacting with a continuous set of uncoupled harmonic oscillators. The interaction is linear in the coordinates and the momenta. The model has an analytical solution that is used to study the time evolution of the reduced density operator. It is derived in a closed form, in the one-particle sector of the model. The irreversible behavior of the Brownian particle is described by a reduced density matrix.
format JOUR
author Arbó, D.G.
Castagnino, M.A.
Gaioli, F.H.
Iguri, S.
author_facet Arbó, D.G.
Castagnino, M.A.
Gaioli, F.H.
Iguri, S.
author_sort Arbó, D.G.
title Minimal irreversible quantum mechanics. The decay of unstable states
title_short Minimal irreversible quantum mechanics. The decay of unstable states
title_full Minimal irreversible quantum mechanics. The decay of unstable states
title_fullStr Minimal irreversible quantum mechanics. The decay of unstable states
title_full_unstemmed Minimal irreversible quantum mechanics. The decay of unstable states
title_sort minimal irreversible quantum mechanics. the decay of unstable states
url http://hdl.handle.net/20.500.12110/paper_03784371_v277_n3_p469_Arbo
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AT castagninoma minimalirreversiblequantummechanicsthedecayofunstablestates
AT gaiolifh minimalirreversiblequantummechanicsthedecayofunstablestates
AT iguris minimalirreversiblequantummechanicsthedecayofunstablestates
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