The Quantum Theory Of Measurement
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| Author | : John Archibald Wheeler |
| Publisher | : Princeton University Press |
| Total Pages | : 841 |
| Release | : 2014-07-14 |
| Genre | : Science |
| ISBN | : 1400854555 |
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.
| Author | : Paul Busch |
| Publisher | : Springer |
| Total Pages | : 544 |
| Release | : 2016-08-23 |
| Genre | : Science |
| ISBN | : 331943389X |
This is a book about the Hilbert space formulation of quantum mechanics and its measurement theory. It contains a synopsis of what became of the Mathematical Foundations of Quantum Mechanics since von Neumann’s classic treatise with this title. Fundamental non-classical features of quantum mechanics—indeterminacy and incompatibility of observables, unavoidable measurement disturbance, entanglement, nonlocality—are explicated and analysed using the tools of operational quantum theory. The book is divided into four parts: 1. Mathematics provides a systematic exposition of the Hilbert space and operator theoretic tools and relevant measure and integration theory leading to the Naimark and Stinespring dilation theorems; 2. Elements develops the basic concepts of quantum mechanics and measurement theory with a focus on the notion of approximate joint measurability; 3. Realisations offers in-depth studies of the fundamental observables of quantum mechanics and some of their measurement implementations; and 4. Foundations discusses a selection of foundational topics (quantum-classical contrast, Bell nonlocality, measurement limitations, measurement problem, operational axioms) from a measurement theoretic perspective. The book is addressed to physicists, mathematicians and philosophers of physics with an interest in the mathematical and conceptual foundations of quantum physics, specifically from the perspective of measurement theory.
| Author | : Paul Busch |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 193 |
| Release | : 1996-07-16 |
| Genre | : Science |
| ISBN | : 3540613552 |
The amazing accuracy in verifying quantum effects experimentally has recently renewed interest in quantum mechanical measurement theory. In this book the authors give within the Hilbert space formulation of quantum mechanics a systematic exposition of the quantum theory of measurement. Their approach includes the concepts of unsharp objectification and of nonunitary transformations needed for a unifying description of various detailed investigations. The book addresses advanced students and researchers in physics and philosophy of science. In this second edition Chaps. II-IV have been substantially rewritten. In particular, an insolubility theorem for the objectification problem has been formulated in full generality, which includes unsharp object observables as well as unsharp pointers.
| Author | : Kurt Jacobs |
| Publisher | : Cambridge University Press |
| Total Pages | : 729 |
| Release | : 2014-08-14 |
| Genre | : Science |
| ISBN | : 1139992198 |
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.
| Author | : Vladimir B. Braginsky |
| Publisher | : Cambridge University Press |
| Total Pages | : 216 |
| Release | : 1995-05-25 |
| Genre | : Science |
| ISBN | : 9780521484138 |
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, Schrödinger, 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 relevant theory and goes on to discuss all aspects of the design of practical quantum measurement systems.
| Author | : Howard M. Wiseman |
| Publisher | : Cambridge University Press |
| Total Pages | : 477 |
| Release | : 2010 |
| Genre | : Mathematics |
| ISBN | : 0521804426 |
Modern quantum measurement for graduate students and researchers in quantum information, quantum metrology, quantum control and related fields.
| Author | : Peter Mittelstaedt |
| Publisher | : Cambridge University Press |
| Total Pages | : 156 |
| Release | : 2004-03-25 |
| Genre | : Science |
| ISBN | : 9780521602815 |
Monograph on the philosophy of quantum mechanics.
| Author | : Orly Alter |
| Publisher | : Wiley-VCH |
| Total Pages | : 0 |
| Release | : 2001-06-15 |
| Genre | : Science |
| ISBN | : 9780471283089 |
A groundbreaking look at the nature of quantum mechanics With new technologies permitting the observation and manipulation of single quantum systems, the quantum theory of measurement is fast becoming a subject of experimental investigation in laboratories worldwide. This original new work addresses open fundamental questions in quantum mechanics in light of these experimental developments. Using a novel analytical approach developed by the authors, Quantum Measurement of a Single System provides answers to three long-standing questions that have been debated by such thinkers as Bohr, Einstein, Heisenberg, and Schr?dinger. It establishes the quantum theoretical limits to information obtained in the measurement of a single system on the quantum wavefunction of the system, the time evolution of the quantum observables associated with the system, and the classical potentials or forces which shape this time evolution. The technological relevance of the theory is also demonstrated through examples from atomic physics, quantum optics, and mesoscopic physics. Suitable for professionals, students, or readers with a general interest in quantum mechanics, the book features recent formulations as well as humorous illustrations of the basic concepts of quantum measurement. Researchers in physics and engineering will find Quantum Measurement of a Single System a timely guide to one of the most stimulating fields of science today.
| Author | : M. Mensky |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 252 |
| Release | : 2000-03-31 |
| Genre | : Science |
| ISBN | : 9780792362272 |
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.
| Author | : Robert B. Griffiths |
| Publisher | : Cambridge University Press |
| Total Pages | : 412 |
| Release | : 2003-11-13 |
| Genre | : Science |
| ISBN | : 9780521539296 |
Quantum mechanics is one of the most fundamental yet difficult subjects in physics. Nonrelativistic quantum theory is presented here in a clear and systematic fashion, integrating Born's probabilistic interpretation with Schrödinger dynamics. Basic quantum principles are illustrated with simple examples requiring no mathematics beyond linear algebra and elementary probability theory. The quantum measurement process is consistently analyzed using fundamental quantum principles without referring to measurement. These same principles are used to resolve several of the paradoxes that have long perplexed physicists, including the double slit and Schrödinger's cat. The consistent histories formalism used here was first introduced by the author, and extended by M. Gell-Mann, J. Hartle and R. Omnès. Essential for researchers yet accessible to advanced undergraduate students in physics, chemistry, mathematics, and computer science, this book is supplementary to standard textbooks. It will also be of interest to physicists and philosophers working on the foundations of quantum mechanics.
