Editing Quantum chaos (section)

== Berry–Tabor conjecture ==
In 1977, [[Michael Berry (physicist)|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 system|integrable]].<ref>{{citation |last=Marklof|first=Jens | author-link=Jens Marklof|title=The Berry–Tabor conjecture|url=http://www.maths.bris.ac.uk/~majm/bib/3ecm.pdf}}</ref><ref>{{cite journal |author=Barba, J.C.|title=The Berry–Tabor conjecture for spin chains of Haldane–Shastry type|journal=EPL|year=2008|volume=83|issue=2 |page=27005 |doi=10.1209/0295-5075/83/27005|bibcode = 2008EL.....8327005B |arxiv = 0804.3685 |s2cid=53550992 |display-authors=etal}}</ref><ref>{{cite journal|author=Rudnick, Z.|title=What Is Quantum Chaos?|journal=[[Notices of the AMS]]|volume=55|issue=1|pages= 32–34|date=Jan 2008|url=https://www.ams.org/notices/200801/tx080100032p.pdf}}</ref>