Geodesic
Quantum non-Markovian Langevin equations and transport coefficients
Teoretičeskaâ i matematičeskaâ fizika, Tome 156 (2008) no. 3, pp. 425-443
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Based on the non-Markovian quantum Langevin equations, we obtain time-dependent transport coefficients for an inverted oscillator coupled linearly in the coordinate to a thermostat. We comparatively analyze the diffusion coefficients for harmonic and inverted oscillators and study the role of quantum statistical effects in the passage through a parabolic barrier.
Keywords: open quantum system, non-Markovian dynamics.
Mots-clés : friction coefficient, diffusion coefficient 
@article{TMF_2008_156_3_a7,
     author = {V. V. Sargsyan and Z. Kanokov and G. G. Adamian and N. V. Antonenko},
     title = {Quantum {non-Markovian} {Langevin} equations and transport coefficients},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {425--443},
     year = {2008},
     volume = {156},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2008_156_3_a7/}
}
TY  - JOUR
AU  - V. V. Sargsyan
AU  - Z. Kanokov
AU  - G. G. Adamian
AU  - N. V. Antonenko
TI  - Quantum non-Markovian Langevin equations and transport coefficients
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2008
SP  - 425
EP  - 443
VL  - 156
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_2008_156_3_a7/
LA  - ru
ID  - TMF_2008_156_3_a7
ER  - 
%0 Journal Article
%A V. V. Sargsyan
%A Z. Kanokov
%A G. G. Adamian
%A N. V. Antonenko
%T Quantum non-Markovian Langevin equations and transport coefficients
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2008
%P 425-443
%V 156
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_2008_156_3_a7/
%G ru
%F TMF_2008_156_3_a7
V. V. Sargsyan; Z. Kanokov; G. G. Adamian; N. V. Antonenko. Quantum non-Markovian Langevin equations and transport coefficients. Teoretičeskaâ i matematičeskaâ fizika, Tome 156 (2008) no. 3, pp. 425-443. http://geodesic.mathdoc.fr/item/TMF_2008_156_3_a7/

[1] N. N. Bogolyubov, Izbrannye trudy v trekh tomakh, Naukova dumka, Kiev, 1971 | MR | Zbl

[2] A. A. Belavin, Ya. B. Zel'dovich, A. M. Perelomov V. S. Popov, ZhETF, 56 (1969), 264–274

[3] N. G. Van Kampen, Stokhasticheskie protsessy v fizike i khimii, Vysshaya shkola, M., 1990 | MR | Zbl

[4] A. O. Caldeira, A. J. Leggett, Phys. A, 121:3 (1983), 587–616 | DOI | MR | Zbl

[5] C. W. Gardiner, Quantum Noise, Springer Ser. Synergetics, 56, Springer, Berlin, 1991 | DOI | MR | Zbl

[6] H. J. Carmichael, An Open System Approach to Quantum Optics, Lecture Notes in Phys., 18, Springer, Berlin, 1993 | MR

[7] Yu. L. Klimontovich, Statistical Theory of Open Systems, V. 1, Fund. Theories Phys., 67, Kluwer, Dordrecht, 1995 | MR | Zbl

[8] D. N. Zubarev, V. G. Morozov, G. Rëpke, Statisticheskaya mekhanika neravnovesnykh protsessov, T. 2, Fizmatlit, M., 2002 | MR | Zbl

[9] U. Weiss, Quantum Dissipative Systems, Wold Scientific, Singapore, 1999 | Zbl

[10] V. V. Dodonov, O. V. Man'ko, V. I. Man'ko, J. of Russian Laser Research, 16:1 (1995), 1–56 ; V. V. Dodonov, V. I. Man'ko, Density Matrices and Wigner Functions of Quasiclassical Quantum Systems, Proc. Lebedev Phys. Inst. of Sciences, 167, ed. A. A. Komar, Nova Science, Commack, NY, 1987 | DOI | MR

[11] K. Lindenberg, B. J. West, Phys. Rev. A, 30:1 (1984), 568–582 | DOI | MR

[12] H. Grabert, P. Schramm, G.-L. Ingold, Phys. Rep., 168:3 (1988), 115–207 ; P. Talkner, Ann. Phys., 167:2 (1986), 390–436 | DOI | MR | DOI | MR

[13] G. W. Ford, J. T. Lewis, R. F. O'Connell, Phys. Rev. A, 37:11 (1988), 4419–4428 | DOI | MR

[14] H. Hofmann, D. Kiderlen, Internat. J. Modern Phys. E, 7:2 (1998), 243–274 | DOI

[15] G. G. Adamyan, N. V. Antonenko, Z. Kanokov, V. V. Sargsyan, TMF, 145:1 (2005), 87–101 | DOI | MR

[16] G. G. Adamian, N. V. Antonenko, W. Scheid, Phys. Lett. A, 244:6 (1998), 482–488 ; 260:1–2 (1999), 39–45 ; Yu. V. Palchikov, G. G. Adamian, N. V. Antonenko, W. Scheid, J. Phys. A, 33:23 (2000), 4265–4276 ; Phys. A, 316:1–4 (2002), 297–313 | DOI | DOI | MR | Zbl | DOI | MR | Zbl | DOI | MR | Zbl

[17] R. V. Dzholos, S. P. Ivanova, V. V. Ivanov, YaF, 40 (1984), 117–125; S. P. Ivanova, R. V. Jolos, Nucl. Phys. A, 530:1 (1991), 232–250 | DOI