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Quantum chaos, thermalization and dissipation in nuclear systems

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Abstract

Nuclei have complex energy-level sequence with statistical properties in agreement with canonical random matrix theory. This agreement appears when the one-particle one-hole states are mixed completely with two-particle two-hole states. In the transition, there is a new universality which we present here, bringing about a relation between dynamics and statistics. We summarize also the role of chaos in thermalization and dissipation in isolated systems like nuclei. The methods used to bring forth this understanding emerge from random matrix theory, semiclassical physics, and the theory of dynamical systems.

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References

  1. M L Mehta, Aandom matrices (Academic Press, New York, 1991)

    Google Scholar 

  2. V Zelevinsky, Ann. Rev. Nucl. Part. Sci. 46, 237 (1996)

    Article  ADS  MathSciNet  Google Scholar 

  3. B Grèmaud and S R Jain, J. Phys. A31, L637 (1998)

  4. H A Weidenmüller, Nucl. Phys. A502, 387c (1989)

  5. S R Jain, Nucl. Phys. A673, 423 (2000)

    ADS  Google Scholar 

  6. P Gaspard and S R Jain, Pramana — J. Phys. 48, 503 (1997)

    Google Scholar 

  7. S R Jain, Physica A264, 192 (1999)

    Google Scholar 

  8. T Mukhopadhyay and S Pal, Phys. Rev. C56, 296 (1997)

    ADS  Google Scholar 

  9. A Klein, G Do Dang and N Walet, Ann. Phys. 208, 90 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  10. A Klein and N Walet, Phys. Rev. C48, 178 (1993)

    ADS  Google Scholar 

  11. O Bohigas, M -J Gianonni and C Schmit, Phys. Rev. Lett. 52, 1 (1984)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  12. R Haq, A Pandey and O Bohigas, Phys. Rev. Lett. 48, 1086 (1982)

    Article  ADS  Google Scholar 

  13. A Pandey, unpublished

  14. Z Ahmed and S R Jain, Pramana — J. Phys. 54, 413 (2000)

    ADS  Google Scholar 

  15. S Drozdz et al, Phys. Rev. C49, 867 (1994)

    ADS  Google Scholar 

  16. S R Jain and A Khare, Phys. Lett. A262, 35 (1999)

    ADS  MathSciNet  Google Scholar 

  17. G Auberson, S R Jain and A Khare, J. Phys. A34, 695 (2001)

    ADS  MathSciNet  Google Scholar 

  18. G Date, S R Jain and M V N Murthy, Phys. Rev. E51, 198 (1995)

    ADS  Google Scholar 

  19. S R Jain and H D Parab, J. Phys. A25, 6993 (1992),

    MathSciNet  Google Scholar 

  20. H D Parab and S R Jain, J. Phys. A29, 3903 (1996)

    ADS  MathSciNet  Google Scholar 

  21. B I Shklovskii, B Shapiro, B R Sears, P Lambradines and H B Shore, Phys. Rev. B47, 11487 (1993)

    ADS  Google Scholar 

  22. S W McDonald and A N Kaufmann, Phys. Rev. A37, 3067 (1988)

    ADS  Google Scholar 

  23. M V Berry, J. Phys. A10, 2083 (1977)

    ADS  MathSciNet  Google Scholar 

  24. D Biswas and S R Jain, Phys. Rev. A42, 3170 (1990)

    ADS  Google Scholar 

  25. M Srednicki, Phys. Rev. E50, 888 (1994)

    ADS  Google Scholar 

  26. D Alonso and S R Jain, Phys. Lett. B387, 812 (1996)

    ADS  MathSciNet  Google Scholar 

  27. S R Jain and D Alonso, J. Phys. A30, 4993 (1997)

    ADS  MathSciNet  Google Scholar 

  28. S R Jain and A K Pati, Phys. Rev. Lett. 80, 650 (1998)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  29. E Ott, Phys. Rev. Lett. 42, 1628 (1979)

    Article  ADS  Google Scholar 

  30. C Jarzynski, Phys. Rev. Lett. 71, 839 (1993)

    Article  ADS  Google Scholar 

  31. R Balian, Ann. Phys. Fr. 21, 437 (1996); also cond-mat/9907015

    ADS  Google Scholar 

  32. M H Ernst and J Robert Dorfman, Physica A61, 157 (1972); J. Stat. Phys. 12, 311 (1975)

    Article  MathSciNet  Google Scholar 

  33. S R Jain and P Gaspard, Time correlation functions in complex quantum systems, preprint (1996)

  34. D Lacroix, Ph.D Thesis (unpublished, 1999)

  35. D Kusnezov, Phys. Rev. Lett. 72, 1990 (1994)

    Article  ADS  Google Scholar 

  36. R G Littlejohn and W G Flynn, Phys. Rev. A44, 5239 (1991)

    ADS  MathSciNet  Google Scholar 

  37. N D Dang, K Tanabe and A Arima, Evolution of the hot giant dipole resonance as a manifestation of the order-and-chaos coexistence, preprint RIKEN-AF-NP-315, RIKEN accelerator facility, April 1999)

  38. R Balian, Y Alhassid and H Reinhardt, Phys. Rep. 131, 1 (1986)

    Article  ADS  MathSciNet  Google Scholar 

  39. D Braun and S R Jain, Time correlation functions for mixed systems, unpublished (1996)

  40. P Chomaz, Nucl. Phys. A569, 203c (1994)

  41. S R Jain, Phys. Rev. Lett. 70, 3553 (1993)

    Article  MATH  ADS  MathSciNet  Google Scholar 

Download references

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  1. Nuclear Physics Division, Bhabha Atomic Research Centre, Van de Graaf Building, 400 085, Trombay, Mumbai, India

    Sudhir R Jain

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  1. Sudhir R Jain
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Jain, S.R. Quantum chaos, thermalization and dissipation in nuclear systems. Pramana - J Phys 57, 571–584 (2001). https://doi.org/10.1007/s12043-001-0063-3

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