Skip to main content
SpringerLink
Log in

Riemann's Zeta function: A model for quantum chaos?

  • Conference paper
  • First Online:
Quantum Chaos and Statistical Nuclear Physics

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

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

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. H.M.Edwards, Riemann's Zeta Function (Academic Press: New York and London) (1974)

    Google Scholar 

  2. C.E.Porter, Statistical theories of Spectra: Fluctuations (Academic Press: New York (1965)

    Google Scholar 

  3. F.J.Dyson, in ‘Symmetries in particle physics’ (eds: I.Bars, A.Chodos and C-H Tze; Plenum: New York and London) pp 279–281 (1984)

    Google Scholar 

  4. O.Bohigas and M.J.Giannoni, Chaotic motion and Random-matrix Theories in Mathematical and Computational Methods in Nuclear Physics eds.J.S.Dehesa, J.M.G.Gomez and A.Polls, Lecture Notes in Physics 209 (Springer-Verlag, N.Y.) pp. 1–99 (1984)

    Google Scholar 

  5. H.L.Montgomery, Proc.Symp.Pure Math. 24 181–193 (1973)

    Google Scholar 

  6. M.L.Mehta, Random Matrices and the Statistical Theory of Energy Levels (Academic Press: New York and London) (1967)

    Google Scholar 

  7. T.H.Seligman, and J.J.M.Verbaarschot, Phys.Lett. 108A 183–187 (1985)

    Google Scholar 

  8. M.V.Berry and M.Robnik, J.Phys.A. (1986) In press

    Google Scholar 

  9. M.Robnik and M.V.Berry, J.Phys.A. (1986) In press

    Google Scholar 

  10. M.V.Berry, Proc.Roy.Soc.Lond. A400 229–251 (1985)

    Google Scholar 

  11. M.V.Berry and M.Tabor, Proc.Roy.Soc.Lond. A356 375–394 (1977)

    Google Scholar 

  12. O. Bohigas, M.J.Giannoni and C.Schmit, Phys.Rev.Lett. 52 1–4 (1984)

    Google Scholar 

  13. M.V.Berry, Ann.Phys. (N.Y) 131 163–216 (1981)

    Google Scholar 

  14. Ouroboros: see Encyclopaedia Brittanica (15th ed.) vol. 9 p13 (1985)

    Google Scholar 

  15. M.C.Gutzwiller, J.Math.Phys. 12 343–358 (1971)

    Google Scholar 

  16. M.C.Gutzwiller, in ‘Path Integrals and their Applications in Quantum, Statistical and Solid-State Physics’ (Eds. G.J.Papadopoulos and J.T.Devreese Plenum, N.Y. 163–200 (1978)

    Google Scholar 

  17. M.C.Gutzwiller, in ‘Stochastic Behaviour in Classical and Quantum Hamiltonian Systems’ (eds. G.Casati and J.Ford) Lecture Notes in Physics 93 (Springer: Berlin) (1979)

    Google Scholar 

  18. R.Balian and C Bloch, Ann.Phys.(N.Y) 69 76–160 (1972)

    Google Scholar 

  19. M.V.Berry, Semiclassical Mechanics of Regular and Irregular Motion in Chaotic Behavior of Deterministic Systems (Les Houches Lectures XXXVI, eds.G.Iooss, R.H.G.Helleman and R.Stora (North-Holland: Amsterdam) pp171–271 (1983)

    Google Scholar 

  20. H.P.McKean, Comm.Pure App. Math. 25 225–246 (1972)

    Google Scholar 

  21. D.A.Hejhal, Duke Math.J. 43 441–482 (1976)

    Google Scholar 

  22. B.S.Pavlov and L.D.Faddeev, J.Soviet Math 3 522–548 (1975)

    Google Scholar 

  23. M.C.Gutzwiller, Physica 7D 341–355 (1983)

    Google Scholar 

  24. B.Simon, Ann.Phys. 146 209–220 (1983)

    Google Scholar 

  25. B.Simon, J. Funct. Anal. 53 84–98 (1983)

    Google Scholar 

  26. D.Ruelle, Inventiones Math 34 231–242 (1976)

    Google Scholar 

  27. D.Ruelle, Ergod. Th. and Dynam. Syst. 2 99–107 (1982)

    Google Scholar 

  28. W.Parry Israel J.Math. 45 41–52 (1983)

    Google Scholar 

  29. W.Parry Ergod Th. and Dynam. Syst. 4 117–134 (1984)

    Google Scholar 

  30. W.Parry and M.Pollicott, Annals of Math. 118 573–591 (1983)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. H.H.Wills Physics Laboratory, Tyndall Avenue, BS8 1TL, Britol, UK

    M. V. Berry

Authors
  1. M. V. Berry
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

T. H. Seligman H. Nishioka

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Springer-Verlag

About this paper

Cite this paper

Berry, M.V. (1986). Riemann's Zeta function: A model for quantum chaos?. 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_1

Download citation

  • DOI: https://doi.org/10.1007/3-540-17171-1_1

  • 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

Search

Navigation