Measurements and Quantum Probabilities

Measurements and Quantum Probabilities PDF Author: M.D. Srinivas
Publisher: Universities Press
ISBN: 9788173713705
Category : Quantum theory
Languages : en
Pages : 288

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Book Description

Measurements and Quantum Probabilities

Measurements and Quantum Probabilities PDF Author: M.D. Srinivas
Publisher: Universities Press
ISBN: 9788173713705
Category : Quantum theory
Languages : en
Pages : 288

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Book Description


Quantum Probability

Quantum Probability PDF Author: Stanley P. Gudder
Publisher: Academic Press
ISBN: 0080918484
Category : Mathematics
Languages : en
Pages : 316

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Book Description
Quantum probability is a subtle blend of quantum mechanics and classical probability theory. Its important ideas can be traced to the pioneering work of Richard Feynman in his path integral formalism. Only recently have the concept and ideas of quantum probability been presented in a rigorous axiomatic framework, and this book provides a coherent and comprehensive exposition of this approach. It gives a unified treatment of operational statistics, generalized measure theory and the path integral formalism that can only be found in scattered research articles. The first two chapters survey the necessary background in quantum mechanics and probability theory and therefore the book is fairly self-contained, assuming only an elementary knowledge of linear operators in Hilbert space.

Quantum Measurements and Decoherence

Quantum Measurements and Decoherence PDF Author: M. Mensky
Publisher: Springer Science & Business Media
ISBN: 9401595666
Category : Science
Languages : en
Pages : 238

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Book Description
Quantum measurement (Le., a measurement which is sufficiently precise for quantum effects to be essential) was always one of the most impor tant points in quantum mechanics because it most evidently revealed the difference between quantum and classical physics. Now quantum measure ment is again under active investigation, first of all because of the practical necessity of dealing with highly precise and complicated measurements. The nature of quantum measurement has become understood much bet ter during this new period of activity, the understanding being expressed by the concept of decoherence. This term means a physical process lead ing from a pure quantum state (wave function) of the system prior to the measurement to its state after the measurement which includes classical elements. More concretely, decoherence occurs as a result of the entangle ment of the measured system with its environment and results in the loss of phase relations between components of the wave function of the measured system. Decoherence is essentially nothing else than quantum measurement, but considered from the point of view of its physical mechanism and resolved in time. The present book is devoted to the two concepts of quantum measure ment and decoherence and to their interrelation, especially in the context of continuous quantum measurement.

Measurements in Quantum Mechanics

Measurements in Quantum Mechanics PDF Author: Mohammad Reza Pahlavani
Publisher: BoD – Books on Demand
ISBN: 9535100580
Category : Science
Languages : en
Pages : 363

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Book Description
Perhaps quantum mechanics is viewed as the most remarkable development in 20th century physics. Each successful theory is exclusively concerned about "results of measurement". Quantum mechanics point of view is completely different from classical physics in measurement, because in microscopic world of quantum mechanics, a direct measurement as classical form is impossible. Therefore, over the years of developments of quantum mechanics, always challenging part of quantum mechanics lies in measurements. This book has been written by an international invited group of authors and it is created to clarify different interpretation about measurement in quantum mechanics.

Probabilistic and Statistical Aspects of Quantum Theory

Probabilistic and Statistical Aspects of Quantum Theory PDF Author: Alexander S. Holevo
Publisher: Springer Science & Business Media
ISBN: 8876423788
Category : Mathematics
Languages : en
Pages : 324

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Book Description
This book is devoted to aspects of the foundations of quantum mechanics in which probabilistic and statistical concepts play an essential role. The main part of the book concerns the quantitative statistical theory of quantum measurement, based on the notion of positive operator-valued measures. During the past years there has been substantial progress in this direction, stimulated to a great extent by new applications such as Quantum Optics, Quantum Communication and high-precision experiments. The questions of statistical interpretation, quantum symmetries, theory of canonical commutation relations and Gaussian states, uncertainty relations as well as new fundamental bounds concerning the accuracy of quantum measurements, are discussed in this book in an accessible yet rigorous way. Compared to the first edition, there is a new Supplement devoted to the hidden variable issue. Comments and the bibliography have also been extended and updated.

Operational Quantum Physics

Operational Quantum Physics PDF Author: Paul Busch
Publisher: Springer Science & Business Media
ISBN: 3540492399
Category : Science
Languages : en
Pages : 237

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Book Description
Operational Quantum Physics offers a systematic presentation of quantum mechanics which makes exhaustive use of the full probabilistic structure of this theory. Accordingly the notion of an observable as a positive operator valued (POV) measure is explained in great detail, and the ensuing quantum measurement theory is developed and applied both to a resolution of long-standing conceptual and interpretational puzzles in the foundations of quantum mechanics, and to an analysis of various recent fundamental experiments. The book, or different parts of it, may be of interest to advanced students or researchers in quantum physics, to philosophers of physics, and to mathematicians working in operator valued measures.

Quantum Measurement Theory and its Applications

Quantum Measurement Theory and its Applications PDF Author: Kurt Jacobs
Publisher: Cambridge University Press
ISBN: 1139992198
Category : Science
Languages : en
Pages : 982

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Book Description
Recent experimental advances in the control of quantum superconducting circuits, nano-mechanical resonators and photonic crystals has meant that quantum measurement theory is now an indispensable part of the modelling and design of experimental technologies. This book, aimed at graduate students and researchers in physics, gives a thorough introduction to the basic theory of quantum measurement and many of its important modern applications. Measurement and control is explicitly treated in superconducting circuits and optical and opto-mechanical systems, and methods for deriving the Hamiltonians of superconducting circuits are introduced in detail. Further applications covered include feedback control, metrology, open systems and thermal environments, Maxwell's demon, and the quantum-to-classical transition.

Quantum Theory and Measurement

Quantum Theory and Measurement PDF Author: John Archibald Wheeler
Publisher: Princeton University Press
ISBN: 1400854555
Category : Science
Languages : en
Pages : 841

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Book Description
The forty-nine papers collected here illuminate the meaning of quantum theory as it is disclosed in the measurement process. Together with an introduction and a supplemental annotated bibliography, they discuss issues that make quantum theory, overarching principle of twentieth-century physics, appear to many to prefigure a new revolution in science. Originally published in 1983. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

The Quantum Theory of Measurement

The Quantum Theory of Measurement PDF Author: Paul Busch
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 188

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Book Description


Continuous Quantum Measurements and Path Integrals

Continuous Quantum Measurements and Path Integrals PDF Author: M.B Mensky
Publisher: Routledge
ISBN: 1351458027
Category : Science
Languages : en
Pages : 171

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Book Description
Advances in technology are taking the accuracy of macroscopic as well as microscopic measurements close to the quantum limit, for example, in the attempts to detect gravitational waves. Interest in continuous quantum measurements has therefore grown considerably in recent years. Continuous Quantum Measurements and Path Integrals examines these measurements using Feynman path integrals. The path integral theory is developed to provide formulae for concrete physical effects. The main conclusion drawn from the theory is that an uncertainty principle exists for processes, in addition to the familiar one for states. This implies that a continuous measurement has an optimal accuracy-a balance between inefficient error and large quantum fluctuations (quantum noise). A well-known expert in the field, the author concentrates on the physical and conceptual side of the subject rather than the mathematical.