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The Quantum Phase Operator

The Quantum Phase Operator
Author: Stephen M. Barnett
Publisher: Taylor & Francis
Total Pages: 504
Release: 2007-04-27
Genre: Science
ISBN: 1584887613

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Describing the phase of an electromagnetic field mode or harmonic oscillator has been an obstacle since the early days of modern quantum theory. The quantum phase operator was even more problematic with the invention of the maser and laser in the 1950s and 1960s. This problem was not solved until the Pegg-Barnett formalism was developed in the 1980


Quantum Measurement

Quantum Measurement
Author: Paul Busch
Publisher: Springer
Total Pages: 544
Release: 2016-08-23
Genre: Science
ISBN: 331943389X

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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.


The Geometric Phase in Quantum Systems

The Geometric Phase in Quantum Systems
Author: Arno Bohm
Publisher: Springer Science & Business Media
Total Pages: 447
Release: 2013-11-11
Genre: Science
ISBN: 3662103338

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From the reviews: "...useful for experts in mathematical physics...this is a very interesting book, which deserves to be found in any physical library." (OPTICS & PHOTONICS NEWS, July/August 2005).


Phase in Optics

Phase in Optics
Author: Vlasta Pe?inov 
Publisher: World Scientific
Total Pages: 472
Release: 1998
Genre: Science
ISBN: 9789810232085

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The history of the quantum phase problem, characterized by renewed interest in the solution to the problem, is included and brought up to date.


Quantum Communication, Computing, and Measurement

Quantum Communication, Computing, and Measurement
Author: Osamu Hirota
Publisher: Springer Science & Business Media
Total Pages: 521
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461559235

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This volume contains the proceedings of the Third International Conference on Quantum Communication and Measurement. The series of international conferences on quantum communication and measurement was established to encourage scientists working in the interdisciplinary research fields of quantum communication science and technology. The first such conference, organized by C. Benjaballah and O. Hirota under the title "Quantum Aspects of Optical Communication," assembled approximately 80 researchers in Paris in 1990. The second conference, held in Nottingham in 1994, was organized by V. P. Belavkin, R. L. Hudson, and O. Hirota and attracted about 130 participants from 22 countries. The present conference, organized by O. Hirota, A. S. Holevo, C. M. Caves, H. P. Yuen, and L. Accardi, was heldSeptember 25-30, 1996, in Fuji-Hakone Land, Japan, andjnvolved about 120 researchers from 15 countries. The topics at this third conference included the foundations of quantum communi cation and information theory, quantum measurement theory, quantum cryptography and quantum computation, quantum devices and high-precision measurements, gener ation of nonclassical light, and atom optics. Special emphasis was placed on bringing together research workers in experimental and engineering fields of quantum commu nication and quantum computing and theoreticians working in quantum measurement and information theory. Nineteen plenary and parallel sessions and one poster ses sion were organized, at which a total of 82 papers were presented. Interesting and stimulating scientific discussions took place between and after sessions as well as in the evenings.


Understanding Quantum Phase Transitions

Understanding Quantum Phase Transitions
Author: Lincoln Carr
Publisher: CRC Press
Total Pages: 756
Release: 2010-11-02
Genre: Science
ISBN: 1439802610

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Quantum phase transitions (QPTs) offer wonderful examples of the radical macroscopic effects inherent in quantum physics: phase changes between different forms of matter driven by quantum rather than thermal fluctuations, typically at very low temperatures. QPTs provide new insight into outstanding problems such as high-temperature superconductivit