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From quantum action to quantum chaos

Pages: 492 - 500, Issue Special, July 2003

 Abstract        Full Text (176.8K)              

Helmut Kröger - Département de Physique, Université Laval, Québec, Québec G1K 7P4, Canada (email)

Abstract: We discuss the concept of the quantum action with the purpose to characterize and quantitatively compute quantum chaos. As an example we consider in quantum mechanics a 2-D Hamiltonian system - harmonic oscillators with anharmonic coupling - which is classically a chaotic system. We compare Poincaré sections obtained from the quantum action with those from the classical action.

Keywords:  Nonlinear dynamics, quantum chaos.
Mathematics Subject Classification:  Primary: 81Q50, 37F25.

Received: August 2002;      Revised: February 2003;      Published: April 2003.