Abstract:
The evolution generated by general dissipative Hamiltonians is analyzed when a stochastic force is included. Using a mapping technique, the equations of motion for the observables of interest can be given easily. A general dissipativity condition is extracted, whose fulfilment guarantees that thermal equilibrium is reached as the final stage of the evolution. Several existing frictional Hamiltonians are examined and it is seen that the correlation of the fluctuating force is essential to the destruction of a constant of motion inherent to pure quantal behaviour. © 1983.
Registro:
Documento: |
Artículo
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Título: | Parametrization of open systems with effective quadratic Hamiltonians plus stochastic force |
Autor: | Hernández, E.S.; Mizrahi, S.S. |
Filiación: | Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina Instituto de Física Teórica, Rua Pamplona 145, Caixa Postal 5956, 01405 São Paulo, SP, Brazil
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Año: | 1983
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Volumen: | 119
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Número: | 1-2
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Página de inicio: | 159
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Página de fin: | 176
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DOI: |
http://dx.doi.org/10.1016/0378-4371(83)90153-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_v119_n1-2_p159_Hernandez |
Referencias:
- Norenberg, Weidenmüller, (1976) Lecture Notes in Physics, 51. , Springer, Berlin
- Moretto, Schmidt, (1981) Rep. Prog. Phys., 44, p. 533
- Louisell, (1973) Quantum Statistical Properties of Radiation, , Wiley, New York
- Haake, (1973) Springer Tracts in Modern Physics, 66. , Springer, Berlin
- Hasse, On the quantum mechanical treatment of dissipative systems (1975) Journal of Mathematical Physics, 16, p. 2005
- Remaud, Hernández, (1980) J. Phys., 13 A, p. 2013
- Remaud, Hernández, Constants of motion and non-stationary wave functions for the damped, time-dependent harmonic oscillator (1980) Physica A: Statistical Mechanics and its Applications, 103 A, p. 35
- Hernández, Remaud, General properties of gausson-conserving descriptions of quantal damped motion (1981) Physica A: Statistical Mechanics and its Applications, 105 A, p. 130
- Remaud, Dorso, Hernández, (1982) Physica, 112 A, p. 193
- Caldirola, Forze non conservative nella meccanica quantistica (1941) Il Nuovo Cimento, 18, p. 393
- Kanaii, On the Quantization of the Dissipative Systems (1948) Progress of Theoretical Physics, 3, p. 440
- Havas, (1957) Nuovo Cimento Suppl., 5, p. 363
- Brinati, Mizrahi, Quantum friction in the c-number picture: The damped harmonic oscillator (1980) Journal of Mathematical Physics, 21, p. 2154
- Hasse, (1978) J. Phys., 11 A, p. 1245
- Kostin, (1972) J. Chem. Phys., 57, p. 3589
- Kan, Griffin, Quantized friction and the correspondence principle: Single particle with friction (1974) Physics Letters B, 50 B, p. 24
- Dekker, (1981) Physics Reports, 80, p. 1
- Albrecht, A new class of Schrödinger operators for quantized friction (1975) Physics Letters B, 56 B, p. 137
- Senitzky, (1960) Phys. Rev., 119, p. 670
- Ford, Kac, Mazur, (1965) J. Math. Phys., 6, p. 504
- Hoffman, Siemens, On the dynamics of statistical fluctuations in heavy ion collisions (1977) Nuclear Physics A, 275 A, p. 464
- Hasse, (1979) Nucl. Phys., 318 A, p. 480
- Dorso, Hernández, Nucl. Phys. (1981) Nucl. Phys., A. , in press
Citas:
---------- APA ----------
Hernández, E.S. & Mizrahi, S.S.
(1983)
. Parametrization of open systems with effective quadratic Hamiltonians plus stochastic force. Physica A: Statistical Mechanics and its Applications, 119(1-2), 159-176.
http://dx.doi.org/10.1016/0378-4371(83)90153-X---------- CHICAGO ----------
Hernández, E.S., Mizrahi, S.S.
"Parametrization of open systems with effective quadratic Hamiltonians plus stochastic force"
. Physica A: Statistical Mechanics and its Applications 119, no. 1-2
(1983) : 159-176.
http://dx.doi.org/10.1016/0378-4371(83)90153-X---------- MLA ----------
Hernández, E.S., Mizrahi, S.S.
"Parametrization of open systems with effective quadratic Hamiltonians plus stochastic force"
. Physica A: Statistical Mechanics and its Applications, vol. 119, no. 1-2, 1983, pp. 159-176.
http://dx.doi.org/10.1016/0378-4371(83)90153-X---------- VANCOUVER ----------
Hernández, E.S., Mizrahi, S.S. Parametrization of open systems with effective quadratic Hamiltonians plus stochastic force. Phys A Stat Mech Appl. 1983;119(1-2):159-176.
http://dx.doi.org/10.1016/0378-4371(83)90153-X