Effective description of the dissipative interaction between simple model-systems and their environment

International Journal of Quantum Chemistry

Volumn 72, Issue 6, 1999, Pages 537-547

  Schuch, Dieter ^a,b  

^a GOETHE UNIVERSITY   (Germany)

^b Istituto per la Ricerca di Base   (Italy)

Author keywords

Dissipation; Effective dissipative Hamiltonians; Open quantum systems

Indexed keywords

EID: 0006654244     PISSN: 00207608     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-461X(1999)72:6<537::AID-QUA1>3.0.CO;2-Q     Document Type: Article

References (36)

1. Blum, K. Density Matrix Theory and Applications, Chap 7, Plenum: New York, 1981.
2. Caldeira, A. O.; Leggett, A. J. Ann Phys (NY) 1983, 149, 374; Ann Phys (NY) 1983, 153, 445(E); Physica A 1983, 121, 587.
3. Caldeira, A. O.; Leggett, A. J. Ann Phys (NY) 1983, 149, 374; Ann Phys (NY) 1983, 153, 445(E); Physica A 1983, 121, 587.
4. Caldeira, A. O.; Leggett, A. J. Ann Phys (NY) 1983, 149, 374; Ann Phys (NY) 1983, 153, 445(E); Physica A 1983, 121, 587.
5. Ford, G. W.; Lewis, J. T.; O'Connell, R. F. Phys Rev A 1988, 37, 4419.
6. Dekker, H. Phys Rep 1981, 80, 1.
7. Gao, S. Phys Rev Lett 1997, 79, 3101.
8. Lindblad, G. Commun Math Phys 1976, 48, 119.
9. Kossakowski, A. Rep Math Phys 1972, 3, 247; Gorini, V.; Kossakowski, A.; Sudarshan, E. C. G. J Math Phys 1976, 17, 821.
10. Kossakowski, A. Rep Math Phys 1972, 3, 247; Gorini, V.; Kossakowski, A.; Sudarshan, E. C. G. J Math Phys 1976, 17, 821.
11. Davidson, A. Phys Rev A 1990, 41, 3395.
12. Caldirola, P. Nuovo Cim 1941, 18, 393.
13. Kanai, E. Progr Theor Phys 1948, 3, 440.
14. Brittin, W. E. Phys Rev 1950, 77, 396.
15. Ray, J. R. Lett Nouvo Cim 1979, 25, 47.
16. Greenberger, D. M. J Math Phys 1979, 20, 762.
17. Svin'in, L. R. Teor Mat Fiz 1976, 27, 270.
18. Messer, J. Acta Phys Austriaca 1979, 50, 75.
19. Caldirola, P. Nouvo Cim 1983, 77, 241.
20. Yu, L. H.; Sun, C. P. Phys Rev A 1994, 49, 592.
21. Sun, C. P.; Yu, L. H. Phys Rev A 1995, 51, 1845.
22. Schuch, D. Phys Rev A 1997, 55, 935.
23. Kostin, M. D. J Chem Phys 1972, 57, 3589.
24. Schuch, D.; Chung, K.-M.; Hartmann, H. J Math Phys 1983, 24, 1652; J Math Phys 1984, 25, 3086.
25. Schuch, D.; Chung, K.-M.; Hartmann, H. J Math Phys 1983, 24, 1652; J Math Phys 1984, 25, 3086.
26. Schuch, D.; Chung, K.-M. Int J Quant Chem 1986, 29, 1561.
27. Doebner, H.-D.; Goldin, G. A. Phys Lett A 1992, 162, 397.
28. Madelung, E. Die mathematischen Hilfsmittel des Physikers, Springer: Berlin, 1950; p. 432.
29. Mrowka, B. Z. Phys 1951, 130, 164.
30. Schrödinger, E. Ann Phys 1926, 79, 361.
31. Schuch, D. Int J Quant Chem, Quant Chem Symp 1990, 24, 767.
32. Meinert, G. Diplom-Thesis, J. W. Goethe-Universität, Frankfurt-Main, 1996.
33. Caldirola, P.; Lugiato, L. A. Physica A 1982, 116, 248.
34. Gisin, N.; Rigo, M. J Phys A: Math Gen 1995, 28, 7375.
35. Schuch, D. Int J Quant Chem, Quant Chem Symp 1994, 28, 251.
36. Santilli, R. M. Elements of Hadronic Mechanics, Vol. II, Naukova Dumka: Kiev, 1994.