Dissipation in finite Fermi systems

Nuclear Physics A

Volumn 673, Issue 1-4, 2000, Pages 423-451

  Jain, Sudhir R ^a  

^a BHABHA ATOMIC RESEARCH CENTRE   (India)

Author keywords

05.45.Mt; 21.60. n; 24.60.Lz; Chaos and dissipation; Periodic orbit theory; Quantum diffusion and irreversibility; Quantum transport

Indexed keywords

EID: 0001436736     PISSN: 03759474     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9474(00)00151-2     Document Type: Article

References (77)

1. Bertsch G.F., Broglia R.A. Oscillations in Finite Quantum Systems. 1994;Cambridge University Press, Cambridge, England.
2. Schroder W.U., Huizenga J.R. Bromley D.A. Treatise on Heavy-Ion Science, Vol. 1. 1984;Plenum Press, New York.
3. Gross D.H.E. Nucl. Phys. A. Vol. 240:1975;472.
4. Blocki J., Boneh Y., Nix J.R., Randrup J., Robel M., Sierk A.J., Swiatecki W.J. Ann. Phys. (NY). Vol. 113:1978;330.
5. Berry M.V. J. Phys. A. Vol. 10:1977;2083.
6. Srednicki M. Phys. Rev. E. Vol. 50:1994;888.
7. Jain S.R., Alonso D. J. Phys. A. Vol. 30:1997;4993.
8. Alonso D., Jain S.R. Phys. Lett. B. Vol. 387:1996;812.
9. Weidenmüller H.A. Nucl. Phys. A. Vol. 502:1989;387c hep-th/9805034.
10. Hofmann H., Siemens P.J. Nucl. Phys. A. Vol. 257:1976;165.
11. Hofmann H. Phys. Rep. Vol. 284:1997;137.
12. Koonin S.E., Randrup J. Nucl. Phys. A. Vol. 289:1977;475.
13. Wilkinson M. Phys. Rev. A. Vol. 41:1990;4645.
14. Berry M.V., Robbins J. Proc. Roy. Soc. Lond. A. Vol. 442:1993;659.
15. The laws of level dynamics are now quite well-developed, see for instance, F. Haake, Quantum Signatures of Chaos, Springer-Verlag, Heidelberg, 1991. It is important to note that the level dynamics is an exactly integrable system.
16. It is interesting to note that the equation we obtain for quantum diffusion turns out to be the same as we generally encounter in weak-turbulence plasma theory.
17. Jain S.R., Pati A.K. Phys. Rev. Lett. Vol. 80:1998;650.
18. Creagh S.C. Ann. Phys. (NY). Vol. 248:1996;60.
19. Pal S., Mukhopadhyay T. Phys. Rev. C. Vol. 54:1996;1333.
20. Pal S., Mukhopadhyay T. Phys. Rev. C. Vol. 57:1998;210.
21. Berry M.V. Proc. Roy. Soc. Lond. A. Vol. 400:1985;229.
22. Parab H.D., Jain S.R. J. Phys. A. Vol. 29:1996;3903.
23. Berry M.V., Robnik M. J. Phys. A. Vol. 17:1984;2413.
24. Blocki J., Shid J.-J., Swiatecki W.J. Nucl. Phys. A. Vol. 554:1993;387.
25. Blocki J., Skalski J., Swiatecki W.J. Nucl. Phys. A. Vol. 594:1995;137.
26. Burgio G.F., Baldo M., Rapisarda A., Schuck P. Phys. Rev. Vol. 52:1995;2475.
27. Mukhopadhyay T., Pal S. Phys. Rev. C. Vol. 56:1997;296.
28. Froebrich P., Gontchar I.I., Mavlitov N.D. Nucl. Phys. A. Vol. 556:1993;281.
29. Froebrich P., Gontchar I.I. Nucl. Phys. A. Vol. 563:1993;326.
30. Gutzwiller M.C. Chaos in Classical and Quantum Mechanics. 1990;Springer-Verlag, Berlin.
31. Klein M.J. Paul Ehrenfest, Vol. 1. 1970;North-Holland, Amsterdam.
32. Gaspard P. Chaos, Scattering and Statistical Mechanics. 1998;Cambridge University Press, Cambridge, England.
33. McDonald S.W., Kaufmann A.N. Phys. Rev. A. Vol. 37:1988;3067.
34. Jain S.R., Lawande S.V. Proc. Indian Natl. Sci. Acad. A. Vol. 61:1995;275.
35. Biswas D., Jain S.R. Phys. Rev. A. Vol. 42:1990;3170.
36. Bohigas O., Giannoni M.-J., Schmit C. Phys. Rev. Lett. Vol. 52:1984;1.
37. Gremaud B., Jain S.R. J. Phys. A. Vol. 31:1998;L637.
38. Bogomolny E., Gerland U., Schmit C. Phys. Rev. E. Vol. 59:1999;R1315.
39. Kubo R. J. Phys. Soc. Jpn. Vol. 12:1956;570.
40. Kadanoff L.P., Martin P.C. Ann. Phys. Vol. 24:1963;419.
41. Fetter A.L., Walecka J.D. Quantum Theory of Many-Particle Systems. 1971;McGraw-Hill, New York.
42. Du M.L., Delos J.B. Phys. Rev. A. Vol. 38:1988;1896. 1913.
43. Carruthers P., Zachariasen F. Rev. Mod. Phys. Vol. 55:1983;243.
44. Bohigas O., Haq R.U., Pandey A. Böchhoff K.H. Nuclear Data for Science and Technology. 1983;809 Reidel, Dordrecht.
45. Mehta M.L. Random Matrices. 1991;Academic Press, New York.
46. Andreev A., Simons B., Agam O., Altshuler B. Phys. Rev. Lett. Vol. 76:1996;3947.
47. Gorkov L.P., Eliashberg G.M. Sov. Phys. JETP. Vol. 21:1965;940.
48. Brezin E., Itzykson C., Parisi G., Zuber J.-B. Commun. Math. Phys. Vol. 59:1978;35.
49. Fraleigh J.B. A Course on Modern Algebra. 1982;Narosa, New Delhi.
50. Creagh S.C., Littlejohn R.G. Phys. Rev. A. Vol. 44:1991;836 J. Phys. A. Vol. 25:1992;1643.
51. Creagh S.C., Littlejohn R.G. Phys. Rev. A. Vol. 44:1991;836 J. Phys. A. Vol. 25:1992;1643.
52. Jarzynski C. Phys. Rev. Lett. Vol. 71:1993;839.
53. Jain S.R. Physica A. Vol. 264:1999;192.
54. Grammaticos B., Voros A. Ann. Phys. (NY). Vol. 129:1980;153.
55. Lieb E., Loss M. Analysis. 1998;Narosa, New Delhi.
56. S.R. Jain, Lecture Notes on "Theory of Complex Quantum Systems" delivered at Bhabha Atomic Research Centre, Trombay, Mumbai, 1997, (unpublished).
57. Gorkov L.P., Eliashberg G.M. Zh. Eksp. Teor. Fiz. Vol. 43:1965;1407.
58. Shapoval E.A. Sov. Phys. JETP. Vol. 20:1965;675.
59. Zener C. Proc. Roy. Soc. Lond. A. Vol. 137:1932;696.
60. Nakamura H., Zhu C. Comments At. Mol. Phys. Vol. 32:1996;249.
61. Hill D.L., Wheeler J.A. Phys. Rev. Vol. 89:1952;1102.
62. S.R. Jain, P. Gaspard, P. van Ede van der Pals, Time correlations for complex quantum systems, preprint.
63. Gaspard P., Jain S.R. Pramana-J. Phys. Vol. 48:1997;503.
64. S.R. Jain, Z. Ahmed, Brownian motion model of random matrices revisited, preprint.
65. Hilscher D., Gontchar I.I., Rossner H. Phys. At. Nucl. Vol. 57:1994;1187.
66. Brack M. Rev. Mod. Phys. Vol. 65:1993;677.
67. Weidenmüller H. Wilkinson Sir D. Prog. Part. Nucl. Sc., Vol. 3. 1980;Pergamon Press, Oxford.
68. Berry M.V. Proc. R. Soc. London A. Vol. 392:1984;45.
69. Balescu R. Equilibrium and Non-equilibrium Statistical Mechanics. 1974;Wiley, New York.
70. Robbins J.M., Berry M.V. Proc. R. Soc. London A. Vol. 436:1992;631.
71. Avron J.E., Seiler R., Zograf P.G. Phys. Rev. Lett. Vol. 75:1995;697.
72. Dellafiore A., Matera F., Brink D.M. Phys. Rev. A. Vol. 51:1995;914. and references therein.
73. Smerzi A. Phys. Rev. A. Vol. 52:1995;4365.
74. Jensen A.S., Reese K., Hofmann H., Siemens P.J. Physics and Chemistry of Fission 1979, Vol. II. 1980;423 International Atomic Energy Agency, Vienna.
75. Brack M., Jain S.R. Phys. Rev. A. Vol. 51:1995;3462.
76. Pal S., Ganguly N.K. Nucl. Phys. A. Vol. 370:1981;175.
77. Hofmann H., Ivanyuk F.A., Yamaji S. Nucl. Phys. A. Vol. 598:1996;187.