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Chaos, entropy, and life-time in classical and quantum systems

Abstract : In this thesis, we first study Lorentz gas as a
billiard ball with elastic collision with the obstacles and a system of hard spheres in 2-dimensions. We study a numerical simulation of the dynamical system and we investigate the entropy increasing in
non-equilibrium with time under the effect of collisions and its relation to positive Lyapunov exponent. Then, we study a decay model in a quantum system which called Friedrichs model. In a work, we consider coupling of the kaons and environment with continuous energies. Then, we show that this model well adapted in order to describe oscillation, regeneration, decay and CP violation of a kaonic system. In the other work, we apply in the Friedrichs model, the time
super-operator formalize that predicts the resonance, i.e. the survival probability of the instable states.
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Contributor : Seyed Majid Saberi Fathi <>
Submitted on : Wednesday, November 21, 2007 - 9:48:58 PM
Last modification on : Thursday, March 4, 2021 - 4:21:47 PM
Long-term archiving on: : Monday, September 24, 2012 - 3:50:33 PM


  • HAL Id : tel-00189733, version 1


Seyed Majid Saberi Fathi. Chaos, entropy, and life-time in classical and quantum systems. Mathematical Physics [math-ph]. Université Paris-Diderot - Paris VII, 2007. English. ⟨tel-00189733⟩



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