ASA 128th Meeting - Austin, Texas - 1994 Nov 28 .. Dec 02

4aPAa6. Postmodern quantum mechanics: Chaos and the Schrodinger wave equation.

Steven Tomsovic

Dept. of Phys., Washington State Univ., Pullman, WA 99164-2814

Recent theoretical and experimental developments are driving a growing interest in the asymptotic wave behavior of quantum mechanics. The underlying ray theory is based on the trajectories found in the corresponding classical mechanical system. Many systems exhibit some chaotic motion and present a number of challenges for the theory. Recent advances will be illustrated with the stadium billiard which has become one of the premiere paradigms of highly chaotic dynamics [E. J. Heller and S. Tomsovic, Phys. Today 46(7), 38 (1993)]. Both the time-dependent and stationary solutions will be discussed. [Work supported by NSF Grant No. PHY-9305582.]