Quantum Chaos via the Quantum Action

Details Quantum Chaos via the Quantum Action Quantum Chaos via the Quantum Action

2002-12-16

arxiv.org/abs/quant-ph/0212093v1

Discr. and Cont. Dyn. Syst. Suppl. ISSN 1078-0947, (2003) p.492-500.

Physics

Quantum Physics

Talk given at 4th Int. Conf. Dyn. Syst. and Diff. Eqs., Wilmington NC (2002), Text (LaTeX), Style file dcds2

Scientific paper

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 Poincar\'e
sections obtained from the quantum action with those from the classical action.

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