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The fundamentals of the treatment of non-Markovian quantum processes in open systems are developed on the basis of various mathematical techniques, such as projection superoperator methods and influence functional techniques. In addition, the book expounds the relativistic theory of quantum measurements and the density matrix theory of relativistic quantum electrodynamics.

Keywords: open quantum systems , decoherence , master equations , quantum Markov processes , non-Markovian quantum dynamics , quantum optics , quantum Brownian motion , quantum information , relativistic quantum processes. Forgot password? Don't have an account? All Rights Reserved. OSO version 0. University Press Scholarship Online.

Sign in. Not registered? Sign up. Publications Pages Publications Pages. The fundamentals of density matrix theory, quantum Markov processes and dynamical semigroups are developed. The most important master equations used in quantum optics and in the theory of quantum Brownian motion are applied to the study of many examples. Special attention is paid to the theory of environment induced decoherence, its role in the dynamical description of the measurement process and to the experimental observation of decohering Schrodinger cat states. The book includes the modern formulation of open quantum systems in terms of stochastic processes in Hilbert space.

Stochastic wave function methods and Monte Carlo algorithms are designed and applied to important examples from quantum optics and atomic physics, such as Levy statistics in the laser cooling of atoms, and the damped Jaynes-Cummings model. Quantum Mechanics of Molecular Rate Processes. Raphael D. Ordinary Differential Equations. Professor Bernd J. Mikio Nakahara. Dynamical Systems.

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