Skip to main content

Spectral fluctuations in the three-level LMG model

  • II. Spectra and States
  • Conference paper
  • First Online:
Quantum Chaos and Statistical Nuclear Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 263))

  • 236 Accesses

Abstract

Our preliminary results for the spectral fluctuations of the three-level LMG model are in qualitative agreement with results obtained for other Hamiltonian systems. Final results await a more careful classification of classical phase space, and better statistics achieved by diagonalizing larger matrices.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

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

    Google Scholar 

  2. T.H. Seligman, J.J.M. Verbaarschot, and M.R. Zirnbauer, Phys. Rev. Lett. 53, 215 (1984).

    Google Scholar 

  3. H.J. Lipkin, N. Meshkov, and A.J. Glick, Nucl. Phys. 62, 188 (1965).

    Google Scholar 

  4. B. Flanders, Ph.D. Thesis, California Institute of Technology, 1981.

    Google Scholar 

  5. L.G. Yaffe, Rev. Mod. Phys. 54, 407 (1982).

    Google Scholar 

  6. R.D. Williams and S.E. Koonin, Nucl. Phys. A391, 72 (1982).

    Google Scholar 

  7. K.-K. Kan, J.J. Griffin, P.C. Lichtner, and M. Dworzecka, Nucl. Phys. A332, 109 (1979).

    Google Scholar 

  8. M.V. Berry and M. Tabor, Proc. Roy. Soc. (Lond.) A356, 375 (1977).

    Google Scholar 

  9. M.L. Mehta and J. des Cloizeaux, Indian Journ. Pure and Appl. Math. 3, 329 (1972).

    Google Scholar 

  10. R.V. Haq, A. Pandey, and O. Bohigas, Phys. Rev. Lett. 16, 1086 (1982).

    Google Scholar 

  11. O. Bohigas and MA. Giannoni, in Mathematical and Computational Methods in Nuclear Physics, 1983, edited by J.S. Dehesa (Springer-Verlag, 1984).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

T. H. Seligman H. Nishioka

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Springer-Verlag

About this paper

Cite this paper

Meredith, D.C., Koonin, S.E. (1986). Spectral fluctuations in the three-level LMG model. In: Seligman, T.H., Nishioka, H. (eds) Quantum Chaos and Statistical Nuclear Physics. Lecture Notes in Physics, vol 263. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-17171-1_11

Download citation

  • DOI: https://doi.org/10.1007/3-540-17171-1_11

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17171-3

  • Online ISBN: 978-3-540-47230-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics