From quantum action to quantum chaos

Helmut Kröger

doi:10.3934/proc.2003.2003.492

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2003, Volume 2003: 492-500. Doi: 10.3934/proc.2003.2003.492 open access

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From quantum action to quantum chaos

Helmut Kröger^1,

1.
Département de Physique, Université Laval, Québec, Québec G1K 7P4

Received: July 31, 2002

Revised: January 31, 2003

Published: March 2003

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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.

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