Cover -- Half-title -- Title -- Copyright -- Dedication -- Contents -- Acknowledgements -- 1 Introduction -- 1.1 Description -- 1.2 Summary -- 1.3 Literature on related fields -- 2 Brownian motion and Itô calculus -- 2.1 Brownian motion and QSD -- 2.2 Probabilities -- 2.3 Itô calculus -- 2.4 Using Itô calculus -- 2.5 Drift and the interval Tau -- 2.6 Correlation and ensemble covariance -- 2.7 Complex diffusion -- 2.8 Time scales and Markov processes -- 2.9 Many fluctuations -- 3 Open quantum systems -- 3.1 States of quantum systems -- 3.2 Ensembles of quantum systems -- 3.3 Entanglement -- 3.4 Open systems -- 3.5 Measurement and preparation -- 3.6 The boundary problem -- 3.7 Quantum expectation and quantum variance -- 4 Quantum state diffusion -- 4.1 Master equations -- 4.2 QSD equations from master equations -- 4.3 Examples -- 4.4 Projectors -- 4.5 Linear unravelling -- 4.6 Other fluctuations -- 4.7 QSD, jumps and Newtonian dynamics -- 4.8 The circuit analogy -- 5 Localization -- 5.1 Measurement and classical motion -- 5.2 Quantum variance and covariance, ensemble localization -- 5.3 Quantum measurement -- 5.4 Dissipation -- 5.5 Channels and statistical properties -- 5.6 Localization theorems -- 5.7 Proof of the dispersion entropy theorem -- 5.8 Discussion -- 6 Numerical methods and examples -- 6.1 Methods -- 6.2 Localization and the moving basis -- 6.3 Dissipative quantum chaos -- 6.4 Second-harmonic generation -- 6.5 Continuous Stern-Gerlach -- 6.6 Noise in quantum computers -- 6.7 How to write a QSD program -- 7 Quantum foundations -- 7.1 Introduction -- 7.2 Matter waves are real -- 7.3 Niels Bohr and Charles Darwin -- 7.4 Quantum theory and physical reality -- 7.5 Preparation of quantum states -- 7.6 Too many alternative theories -- 7.7 Gisin condition -- 8 Primary state diffusion-PSD -- 8.1 First approach-Schrödinger from diffusion.

8.2 Decoherence -- 8.3 Feynman's lectures on gravitation -- 8.4 Second approach-spacetime PSD -- 8.5 Geometry of the fluctuations -- 8.6 Matter interferometers -- 8.7 Conclusions -- 9 Classical dynamics of quantum localization -- 9.1 Introduction -- 9.2 Classical systems and quantum densities -- 9.3 Quantum expectations and other properties of densities -- 9.4 Probability distributions and means -- 9.5 Elementary density diffusion -- 9.6 Generalization -- 9.7 Density entropy decreases -- 9.8 Localization for wide open systems -- 9.9 Localization of a particle in a medium -- 9.10 Discussion -- 10 Semiclassical theory and linear dynamics -- 10.1 Classical equations for open systems -- 10.2 Semiclassical theory of ensembles -- 10.3 Semiclassical theory of pure states -- 10.4 Localization regime -- 10.5 Linear phase space transformations and squeezed states -- 10.6 Linear dynamics and the linear approximation -- 10.7 Summary and discussion -- References -- INDEX.

The first book devoted to quantum state diffusion - suitable for graduate students and researchers.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2018. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.