Stéphane Nonnenmacher 2008 Nonlinearity 21 T113 doi:10.1088/0951-7715/21/8/T01
Stéphane Nonnenmacher
Show affiliationsThe subject area referred to as 'wave chaos', 'quantum chaos' or 'quantum chaology' has been investigated mostly by the theoretical physics community in the last 30 years. The questions it raises have more recently also attracted the attention of mathematicians and mathematical physicists, due to connections with number theory, graph theory, Riemannian, hyperbolic or complex geometry, classical dynamical systems, probability, etc. After giving a rough account on 'what is quantum chaos?', I intend to list some pending questions, some of them having been raised a long time ago, some others more recent. The choice of problems (and of references) is of course partial and personal.
70K55 Transition to stochasticity (chaotic behavior) (See also 37D45)
Issue 8 (August 2008)
Received 6 May 2008
Published 11 June 2008
Stéphane Nonnenmacher 2008 Nonlinearity 21 T113
E Massa et al 2009 Metrologia 46 249
J Silva Lobo and R S Ward 2009 J. Phys. A: Math. Theor. 42 482001
Abhay Ashtekar 2009 J. Phys.: Conf. Ser. 189 012003
S Datta 1990 J. Phys.: Condens. Matter 2 8023
Margareta Wallquist et al 2008 New J. Phys. 10 063005
R G Caro et al 1982 J. Phys. D: Appl. Phys. 15 767
Michael Blank et al 2002 Nonlinearity 15 1905
John Collins JHEP05(2000)004
Lenka Czudková and Jana Musilová 2000 Phys. Educ. 35 22