We use the quantum action to study the dynamics of quantum system at finite temperature. We construct the quantum action non-perturbatively and find temperature dependent action parameters. Here we apply the quantum action to study quantum chaos. We present a numerical study of a classically chaotic 2-D Hamiltonian system - harmonic oscillators with anharmonic coupling. We compare Poincaré sections for the quantum action at finite temperature with those of classical action.

arXiv:quant-ph/0203022Mar 5, 20020 citations

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Quantum Actions

David Finkelstein

Published Jan 1, 1996• 1 citation

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DOI: 10.1007/978-3-642-60936-7_1

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V_{coupl} \propto x^{2}y^{2}

) being classically chaotic. We construct the quantum action at finite temperature. We compute Poincaré sections of the quantum action at that temperature and compare it with those of the classical action. We observe chaotic behavior in both cases.