Secretariat:  
Rachel Goldman 
Tel : 972-8-9343960 
Email: fegold@weizmann.weizmann.ac.il 
 

Uzy Smilansky    Professor   Department of Physics of Complex Systems   Weizmann Institute,   76100 Rehovot,   Israel

Chaos is a generic property of classical hamiltonian systems. The main 
question addressed by  "Quantum Chaos" is : What are the quantum 
mechanicalattributes which emerge when a classically chaotic system is 
quantized? The answers can be found in various properties, ranging from 
spectral statistics in bound systems, to cross section and transmission 
fluctuations in open systems. The methods used to approach this question 
are both analytical and numerical, and among the analytical methods, the 
semi-classical (short wave-length) approximation plays a dominant role. 
  The results of these investigations find their applications in many 
fields of physics, such as e.g., atomic and molecular physics and 
mesoscopics. On the more fundamental level, our investigations help to 
unveil a very intricate yet deep duality between the quantum and the 
classical descriptions. 

The following are lecture notes and a review paper which summarize our work: 

U. Smilansky 
Semiclassical Quantization of Chaotic Billiards - A Scattering Approach. 
the Les Houches Summer School on Mesoscopic Quantum Physics. Elsevier Science Publ. (1995) Ed. E. Akkermans, G. Montambaux and J. L. Pichard. 

U. Smilansky 
Semiclassical Quantization of Maps and Spectral  Correlations 
Proc. of the Nato Advanced Study Institute  "Supersymmetry and Trace 
Formulae ", Editor I. Lerner Cambridge, (1998) 

D. Cohen, H. Primack and U. Smilansky 
Quantal- classical duality and the semiclassical trace formula. 
Annals of Physics, 264, 108-170, (1998).