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Quantum Measurement

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ISBN-10: 0521484138

ISBN-13: 9780521484138

Edition: N/A

Authors: Vladimir Borisovich Braginsky, Farid Ya Khalili, Kip S. Thorne

List price: $73.99
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Description:

This book is an up-to-date introduction to the quantum theory of measurement. Although the main principles of the field were elaborated in the 1930s by Bohr, Schrdinger, Heisenberg, von Neuman, and Mandelstam, it was not until the 1980s that technology became sufficiently advanced to allow its application in real experiments. Quantum measurement is now central to many ultra-high technology developments, such as "squeezed light," single atom traps, and searches for gravitational radiation. It is also considered to have great promise for computer science and engineering, particularly for its applications in information processing and transfer. The book begins with a brief introduction to the…    
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Book details

List price: $73.99
Publisher: Cambridge University Press
Publication date: 5/25/1995
Binding: Paperback
Pages: 212
Size: 5.94" wide x 8.98" long x 0.59" tall
Weight: 0.770
Language: English

Editor's Foreword
Notation
Historical introduction: photons and measurements using photons
The discovery of photons
The wave and particle properties of photons
The Heisenberg uncertainty relations
When do macroscopic objects behave quantum mechanically?
Overview of this book
The main principles of quantum mechanics
The wave function
Probabilistic interpretation of the wave function
Single measurements and ensembles of measurements
Reduction of a quantum state
von Neumann's postulate of reduction
Orthogonal measurements
Nonorthogonal measurements
Back action of the measuring device on the measured object
Indirect measurements
The two main types of quantum measurements
An electron as the quantum probe
Electron probe -- detailed analysis
Formal description of an indirect measurement
Quantum nondemolition measurements
The standard quantum limit for the energy of an oscillator
How can one overcome the standard quantum limit?
The ponderomotive probe for energy
Criteria for QND measurements
Linear measurements
The measurement process and the uncertainty relation
Measurement accuracy and perturbations for linear measurements
Sequences of linear measurements
Continuous linear measurements
Discrete and continuous measurements
Uncertainty relations for continuous linear measurements
Uncertainty relations for continuous linear measurements--rigorous analysis
Linear, quantum 2N-pole systems
The spectral representation
Internal fluctuations of a linear measuring device
Nonlinear systems for continuous measurements
Fluctuational and dynamical back action of the measuring device
Quantum Zeno paradox for exact measurements
The equation of motion for the density operator during a continuous monitoring
Quantum Zeno paradox for approximate measurements
Detection of classical forces
Aspects of quantum limits for the detection of a classical force
Quantum probe oscillator
Continuous quantum nondemolition monitoring
Standard quantum limit for an oscillator
Optimal detection of a classical force
A probe oscillator coupled to a sensor that continuously monitors its number of quanta
Energetic quantum limitations
The energy of the probe and the minimum detectable force
Energetic limits on sensitivity: general analysis
Distinguishing evolutionary paths of a quantum object from each other
Devices for measuring small mechanical displacements
Parametric transducer for mechanical displacements
Capacity transducer
Fluctuations in a capacity transducer in the stationary regime
Capacity transducer used to detect weak forces: stationary regime
Capacity transducer: nonstationary regime
Frequency upconverter
Capacity transducer with two-side-band pumping
Quantum nondemolition measurements of a resonator's energy
Review of methods of measurement
Measuring device based on cubic dielectric nonlinearity
The role of dissipation
Resonator coupled to a waveguide
Nonclassical states of electromagnetic waves as tools for quantum measurements
Quantum properties of a traveling electromagnetic wave
QND measurements of the energy of a traveling electromagnetic wave
Frequency-anticorrelated quantum state
Doppler measurements with frequency-anticorrelated photons
Statistical properties of a wave packet with a definite number of quanta
Conclusion
References
Subject Index