Chaos, Thermodynamics and Quantum Mechanics: an Application to Celestial Dynamics

Details Chaos, Thermodynamics and Quantum Mechanics: an Application to Celestial Dynamics Chaos, Thermodynamics and Quantum Mechanics: an Application to Celestial Dynamics

1998-06-29

arxiv.org/abs/quant-ph/9806092v2

Phys.Lett.A249:248-258,1998

Physics

Quantum Physics

9 pages, two tables included, RevTex. Concluding part of Sec. IV revised and shortened

Scientific paper

10.1016/S0375-9601(98)00745-2

We address the issue of the quantum-classical correspondence in chaotic systems using, as recently done by Zurek [e-print quant-ph/9802054], the solar system as a whole as a case study: this author shows that the classicality of the planetary motion is ensured by the environment-induced decoherence. We show that equivalent results are provided by the theories of spontaneous fluctuations and that these latter theories, in some cases, result in a still faster process of decoherence. We show that, as an additional benefit, the assumption of spontaneous fluctuation makes it possible to genuinely derive thermodynamics from mechanics, namely, without implicitly assuming thermodynamics.

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