semi-classical regimes as well as a large effort in quantum chaotic scattering. Berry–Tabor conjecture In 1977, Berry and Tabor made a still open "generic" mathematical conjecture which, stated roughly, is: In the "generic" case for the quantum dynamics of a geodesic flow on a compact Riemann surface, the quantum energy eigenvalues behave like a sequence of independent random variables provided that the underlying classical dynamics is completely integrable. See also Scar (physics) Statistical mechanics References Further resources Martin C. Gutzwiller, Chaos in Classical and Quantum Mechanics, (1990) Springer-Verlag, New York . Hans-Jürgen Stöckmann, Quantum Chaos: An Introduction, (1999) Cambridge University Press . Fritz Haake, Quantum Signatures of Chaos 2nd ed., (2001) Springer-Verlag, New York . Karl-Fredrik Berggren and Sven Aberg, "Quantum Chaos Y2K Proceedings of Nobel Symposium 116" (2001) L. E. Reichl, "The Transition to Chaos: In Conservative Classical Systems : Quantum Manifestations", Springer (2004), External links Quantum Chaos by Martin Gutzwiller (1992 and 2008, Scientific American) Quantum Chaos Martin Gutzwiller Scholarpedia 2(12):3146. doi:10.4249/scholarpedia.3146 Category:Quantum Chaos Scholarpedia What is... Quantum Chaos by Ze'ev Rudnick (January 2008, Notices of the American Mathematical Society) Brian Hayes, "The Spectrum of Riemannium"; American Scientist Volume 91, Number 4, July–August, 2003 pp. 296–300. Discusses relation to the Riemann zeta function. Eigenfunctions in chaotic quantum systems by Arnd Bäcker. ChaosBook.org Chaos theory Quantum mechanics Quantum chaos theory