Studying of Chaotic Behavior in Some Classical and Quantum Systems<br/>

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Studying of Chaotic Behavior in Some Classical and Quantum Systems

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 49012 (03)
University: Sharif University of Technology
Department: Chemistry
Advisor(s): Shafiee, Afshin
Abstract:
Chaos is defined as an unpredictable and unrepeatable motion which has been observed in many classical systems such as unharmonic oscillators and turbulent currents in fluids. The common aspect of these types of motions is the deterministic nonlinear equation. On the other hand, quantum mechanics is a stochastic theory which is based on probabilistic description of quantum systems. These approaches lead to quantum chaos phenomenon which has been a controversial issue in the recent years. In the thesis, by studying the classical chaotic models such as kicked rotor, billiard model, excited hydrogen atom under microwave field and etc, we examine the existence of chaotic behavior in quantum systems. Comparing the statistical distributions and spatial correlations of energy eigenfunctions in its classical and quantized one
Keywords:
Quantum Mechanics ; Chaos Theory ; Quantum Theory ; Stochastic Dynamics

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