Eigenfunctions and periodic orbits in classically chaotic systems: Order in chaos?
Publication information:
O’Connor, P. W. & Gehlen, J. N. Eigenfunctions and periodic orbits in classically chaotic systems: Order in chaos? AIP Conference Proceedings vols. 162 43–59 (1987).
Abstract
We study the quantum mechanics of a Hamiltonian system which is classically chaotic: the stadium billiard. We have examined many of the eigenstates of the stadium, up to about the 10,000th. Complex periodic orbits play an active role in shaping the eigenstates.