Overview

This book is devoted to the theory of quantum measurements, an area that recently has attracted much attention because of its new applications for quantum information technology. The phenomenon of decoherence of a measured system is investigated and simple techniques for the description of a wide class of measurements are developed. An individual continuously measured (decohering) system is presented by an effective complex Hamiltonian which supplies a phenomenological theory of gradual decoherence. The work, which features a clear presentation of physical processes leading to quantum measurement (decoherence) and simple mathematical formalisms, concentrates on the physical nature of quantum measurements and the behaviour of measured (open) quantum systems, but conceptual problems are also treated. The analysis of interrelations between different approaches to quantum measurement is given. The methods developed in this volume are applicable for the description of individual continuously measured (decohering) systems, not only to a whole set of such systems. Audience: This work will be of interest to both researchers and graduate students in the fields of quantum mechanics, metaphysics, probability theory, stochastic processes, the mathematics of physics and computational physics.

Full Product Details

Author:   M. Mensky
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 2000
Volume:   110
Dimensions:   Width: 15.50cm , Height: 1.30cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9789048154227

ISBN 10:   9048154227
Pages:   231
Publication Date:   15 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

1 Introduction.- 2 The Physics behind Quantum Measurements.- 3 Measurement induced uncertainties.- 4 Continuous Quantum Measurements: The General Notion.- 5 Fuzzy Continuous Measurements: Phenomenology.- 6 Restricted Path Integrals: General Features.- 7 The Monitoring of Energy.- 8 Monitoring by a series of observations.- 9 The Quantum Zeno effect in a passive setup.- 10 RPI and the Philosophy of Quantum Mechanics.- 11 Conclusion: New Prospects.- A The Formalism of Quantum Mechanics.- A1 The density matrix.- A1.1 Subsystem state.- A1.2 Interpretation of a density matrix.- A1.3 Decomposition of a density matrix.- A2 Uncertainty relations.- A3 Technics of path integrals.- A3.1 Propagators and path integrals.- A3.2 Definition of a path integral.- A3.3 Gaussian path integrals.- References.

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