Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | Minimal irreversible quantum mechanics. The decay of unstable states |
Autor: | Arbó, D.G.; Castagnino, M.A.; Gaioli, F.H.; Iguri, S. |
Ciudad: | Amsterdam |
Filiación: | Inst. Astronomia Y Fis. del Espacio, C. C. 67, Suc. 28, 1428, Buenos Aires, Argentina Consejo Nac. de Invest. Cie. Y Tec., Av. Rivadavia 1917, 1033, Buenos Aires, Argentina Depto. Ing. e Invest. Tecnologicas, Univ. Nac. Matanza, F. V., Buenos Aires, Argentina Departamento de Física, Fac. Cie. Exact. Y Nat., Univ. B., Buenos Aires, Argentina Departamento de Física, Univ. Nac. Sur, Alem 1253, 8000 B., Buenos Aires, Argentina
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Palabras clave: | Brownian movement; Mathematical models; Mathematical operators; Numerical analysis; Probability density function; Harmonic oscillator; Reduced density operator; Quantum theory |
Año: | 2000
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Volumen: | 277
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Número: | 3
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Página de inicio: | 469
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Página de fin: | 495
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DOI: |
http://dx.doi.org/10.1016/S0378-4371(99)00480-X |
Título revista: | Physica A: Statistical Mechanics and its Applications
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Título revista abreviado: | Phys A Stat Mech Appl
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ISSN: | 03784371
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CODEN: | PHYAD
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v277_n3_p469_Arbo |
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Citas:
---------- APA ----------
Arbó, D.G., Castagnino, M.A., Gaioli, F.H. & Iguri, S.
(2000)
. Minimal irreversible quantum mechanics. The decay of unstable states. Physica A: Statistical Mechanics and its Applications, 277(3), 469-495.
http://dx.doi.org/10.1016/S0378-4371(99)00480-X---------- CHICAGO ----------
Arbó, D.G., Castagnino, M.A., Gaioli, F.H., Iguri, S.
"Minimal irreversible quantum mechanics. The decay of unstable states"
. Physica A: Statistical Mechanics and its Applications 277, no. 3
(2000) : 469-495.
http://dx.doi.org/10.1016/S0378-4371(99)00480-X---------- MLA ----------
Arbó, D.G., Castagnino, M.A., Gaioli, F.H., Iguri, S.
"Minimal irreversible quantum mechanics. The decay of unstable states"
. Physica A: Statistical Mechanics and its Applications, vol. 277, no. 3, 2000, pp. 469-495.
http://dx.doi.org/10.1016/S0378-4371(99)00480-X---------- VANCOUVER ----------
Arbó, D.G., Castagnino, M.A., Gaioli, F.H., Iguri, S. Minimal irreversible quantum mechanics. The decay of unstable states. Phys A Stat Mech Appl. 2000;277(3):469-495.
http://dx.doi.org/10.1016/S0378-4371(99)00480-X