Download or read book Quantum Mechanics in Phase Space written by Cosmas Zachos and published by World Scientific. This book was released on 2005 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wigner's quasi-probability distribution function in phase space is a special (Weyl) representation of the density matrix. It has been useful in describing quantum transport in quantum optics; nuclear physics; decoherence, quantum computing, and quantum chaos. It is also important in signal processing and the mathematics of algebraic deformation. A remarkable aspect of its internal logic, pioneered by Groenewold and Moyal, has only emerged in the last quarter-century: it furnishes a third, alternative, formulation of quantum mechanics, independent of the conventional Hilbert space, or path integral formulations.In this logically complete and self-standing formulation, one need not choose sides ? coordinate or momentum space. It works in full phase space, accommodating the uncertainty principle, and it offers unique insights into the classical limit of quantum theory. This invaluable book is a collection of the seminal papers on the formulation, with an introductory overview which provides a trail map for those papers; an extensive bibliography; and simple illustrations, suitable for applications to a broad range of physics problems. It can provide supplementary material for a beginning graduate course in quantum mechanics.
Download or read book Quantum Optics in Phase Space written by Wolfgang P. Schleich and published by John Wiley & Sons. This book was released on 2015-12-11 with total page 723 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Optics in Phase Space provides a concise introduction to the rapidly moving field of quantum optics from the point of view of phase space. Modern in style and didactically skillful, Quantum Optics in Phase Space prepares students for their own research by presenting detailed derivations, many illustrations and a large set of workable problems at the end of each chapter. Often, the theoretical treatments are accompanied by the corresponding experiments. An exhaustive list of references provides a guide to the literature. Quantum Optics in Phase Space also serves advanced researchers as a comprehensive reference book. Starting with an extensive review of the experiments that define quantum optics and a brief summary of the foundations of quantum mechanics the author Wolfgang P. Schleich illustrates the properties of quantum states with the help of the Wigner phase space distribution function. His description of waves ala WKB connects semi-classical phase space with the Berry phase. These semi-classical techniques provide deeper insight into the timely topics of wave packet dynamics, fractional revivals and the Talbot effect. Whereas the first half of the book deals with mechanical oscillators such as ions in a trap or atoms in a standing wave the second half addresses problems where the quantization of the radiation field is of importance. Such topics extensively discussed include optical interferometry, the atom-field interaction, quantum state preparation and measurement, entanglement, decoherence, the one-atom maser and atom optics in quantized light fields. Quantum Optics in Phase Space presents the subject of quantum optics as transparently as possible. Giving wide-ranging references, it enables students to study and solve problems with modern scientific literature. The result is a remarkably concise yet comprehensive and accessible text- and reference book - an inspiring source of information and insight for students, teachers and researchers alike.
Download or read book Quantum Mechanics In Phase Space An Overview With Selected Papers written by Thomas L Curtright and published by World Scientific. This book was released on 2005-12-09 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wigner's quasi-probability distribution function in phase space is a special (Weyl) representation of the density matrix. It has been useful in describing quantum transport in quantum optics; nuclear physics; decoherence, quantum computing, and quantum chaos. It is also important in signal processing and the mathematics of algebraic deformation. A remarkable aspect of its internal logic, pioneered by Groenewold and Moyal, has only emerged in the last quarter-century: it furnishes a third, alternative, formulation of quantum mechanics, independent of the conventional Hilbert space, or path integral formulations.In this logically complete and self-standing formulation, one need not choose sides — coordinate or momentum space. It works in full phase space, accommodating the uncertainty principle, and it offers unique insights into the classical limit of quantum theory. This invaluable book is a collection of the seminal papers on the formulation, with an introductory overview which provides a trail map for those papers; an extensive bibliography; and simple illustrations, suitable for applications to a broad range of physics problems. It can provide supplementary material for a beginning graduate course in quantum mechanics.
Download or read book Phase Space Optics Fundamentals and Applications written by Markus Testorf and published by McGraw Hill Professional. This book was released on 2009-09-07 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive cross section of phase-space optics This definitive volume highlights an elegant, unified approach to optical rays, waves, and system design using cutting-edge phase-space techniques. Phase-Space Optics: Fundamentals and Applications details theoretical concepts of phase space as well as novel engineering applications in specific disciplines. This authoritative guide includes full coverage of sampling, superresolution imaging, and the phase-space interpretation of ultrafast optics. Work with Wigner optics, analyze phase-space equations, develop wave propagation models, and gain a new understanding of optical sources and systems. Discover how to: Describe optical phenomena using Wigner and ambiguity functions Perform phase-space rotations using ray transformation matrices Influence the trade-off between pupil size and depth of field Analyze and design optical signals using the Radon-Wigner transform Accomplish superresolution by squeezing phase space Interpret the intimate relationship between radiometry and coherence Use basic algebra to discover self-imaging, Fresnel diffraction, and the Talbot effect Develop discrete models, sampling criteria, and interpolation formulae Work with ultrafast processes and complex space-time structures
Download or read book Linear Canonical Transforms written by John J. Healy and published by Springer. This book was released on 2015-11-26 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a clear and accessible introduction to the essential mathematical foundations of linear canonical transforms from a signals and systems perspective. Substantial attention is devoted to how these transforms relate to optical systems and wave propagation. There is extensive coverage of sampling theory and fast algorithms for numerically approximating the family of transforms. Chapters on topics ranging from digital holography to speckle metrology provide a window on the wide range of applications. This volume will serve as a reference for researchers in the fields of image and signal processing, wave propagation, optical information processing and holography, optical system design and modeling, and quantum optics. It will be of use to graduate students in physics and engineering, as well as for scientists in other areas seeking to learn more about this important yet relatively unfamiliar class of integral transformations.
Download or read book Linear Ray and Wave Optics in Phase Space written by Amalia Torre and published by Elsevier. This book was released on 2020-06-01 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Ray and Wave Optics in Phase Space, Second Edition, is a comprehensive introduction to Wigner optics. The book connects ray and wave optics, offering the optical phase space as the ambience and the Wigner function based technique as the mathematical machinery to accommodate between the two opposite extremes of light representation: the localized ray of geometrical optics and the unlocalized wave function of wave optics. Analogies with other branches of classical and quantum physics—such as classical and quantum mechanics, quantum optics, signal theory and magnetic optics—are evidenced by pertinent comments and/or rigorous mathematics. Lie algebra and group methods are introduced and explained through the elementary optical systems within the ray and wave optics contexts, the former being related to the symplectic group and the latter to the metaplectic group. In a similar manner, the Wigner function is introduced by following the original issue to individualize a phase space representation of quantum mechanics, which is mirrored by the issue to individualize a local frequency spectrum within the signal theory context. The basic analogy with the optics of charged particles inherently underlying the ray-optics picture in phase space is also evidenced within the wave-optics picture in the Wigner phase space. This second edition contains 150 pages of new material on Wigner distribution functions, ambiguity functions for partially coherent beams, and phase-space picture and fast optics. All chapters are fully revised and updated. All topics have been developed to a deeper level than in the previous edition and are now supported with Mathematica and Mathcad codes. Provides powerful tools to solve problems in quantum mechanics, quantum optics and signal theory Includes numerous examples supporting a gradual and comprehensive introduction to Wigner optics Treats both ray and wave optics, resorting to Lie-algebra based methods Connects the subject with other fields, such as quantum optics, quantum mechanics, signal theory and optics of charged particles Introduces abstract concepts through concrete examples Includes logical diagrams to introduce mathematics in an intuitive way Contains 150 pages of new material on Wigner distribution functions, ambiguity functions for partially coherent beams, and phase-space picture and fast optics Supported with Mathematica and Mathcad codes
Download or read book Selected Papers from International Conference on Optics and Optoelectronics 98 written by Kehar Singh and published by SPIE-International Society for Optical Engineering. This book was released on 1999 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: These 72 papers have been selected from those presented at the 1998 International Conference on Optics and Optoelctronics.
Download or read book Selected Works of Emil Wolf written by Emil Wolf and published by World Scientific. This book was released on 2001 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book presents most of the important papers of Emil Wolf, published over half-a-century. It covers chiefly diffraction theory (especially the analysis of the focal region), the theory of direct and inverse scattering, phase-space methods in quantum mechanics, the foundation of radiometry, phase conjugation and coherence theory. Several papers which have become classics of the optical literature are included, such as those on Wolf's rigorous formulation of the theory of partial coherence and partial polarization, the introduction of diffraction tomography, and his discovery of correlation-induced shifts of spectral lines (often called the Wolf effect). There are also papers dealing with the historical development of optics and some review articles.
Download or read book Selected Papers from the 16th International Conference on Squeezed States and Uncertainty Relations ICSSUR 2019 written by Margarita A. Man’ko and published by MDPI. This book was released on 2020-11-09 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first quantum revolution started in the early 20th century and gave us new rules that govern physical reality. Accordingly, many devices that changed dramatically our lifestyle, such as transistors, medical scanners and lasers, appeared in the market. This was the origin of quantum technology, which allows us to organize and control the components of a complex system governed by the laws of quantum physics. This is in sharp contrast to conventional technology, which can only be understood within the framework of classical mechanics. We are now in the middle of a second quantum revolution. Although quantum mechanics is nowadays a mature discipline, quantum engineering as a technology is now emerging in its own right. We are about to manipulate and sense individual particles, measuring and exploiting their quantum properties. This is bringing major technical advances in many different areas, including computing, sensors, simulations, cryptography and telecommunications. The present collection of selected papers is a clear demonstration of the tremendous vitality of the field. The issue is composed of contributions from world leading researchers in quantum optics and quantum information, and presents viewpoints, both theoretical and experimental, on a variety of modern problems.
Download or read book Advances in Information Optics and Photonics written by Ari T. Friberg and published by SPIE Press. This book was released on 2008 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this age of the photon, information optics and photonics represent the key technologies to sustain our knowledge-based society. New concepts in classical and quantum-entangled light, coherent interaction with matter, and novel materials and processes have led to remarkable advances in today's information science and technology. The ICO is closely involved with information optics, as exemplified by the ICO topical meeting on Optoinformatics / Information Photonics (St. Petersburg, Russia, 2006), the ICO/ICTP Winter College on Quantum and Classical Aspects of Information Optics (Trieste, Italy, 2006), and the many ICO Prizes recently awarded on outstanding contributions on these topics. This book is in part based on these ICO activities.
Download or read book Selected Papers of L on Rosenfeld written by Robert S. Cohen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 969 pages. Available in PDF, EPUB and Kindle. Book excerpt: The decision to undertake this volume was made in 1971 at Lake Como during the Varenna summer school ofthe Italian Physical Society, where Professor Leon Rosenfeld was lecturing on the history of quantum theory. We had long been struck by the unique blend of epistemological, histori cal and social concerns in his work on the foundations and development of physics, and decided to approach him there with the idea of publishing a collection of his papers. He responded enthusiastically, and agreed to help us select the papers; furthermore, he also agreed to write a lengthy introduction and to comment separately on those papers that he felt needed critical re-evaluation in the light of his current views. For he was still vigorously engaged in both theoretical investigations of, and critical not reflections on the foundations of theoretical physics. We certainly did conceive of the volume as a memorial to a 'living saint', but rather more practically, as a useful tool to place in the hands of fellow workers and students engaged in wrestling with these difficult problems. All too sadly, fate has added a memorial aspect to our labors. We agreed that in order to make this book most useful for the con temporary community of physicists and philosophers, we should trans late all non-English items into English.
Download or read book Quantum Optics written by Marlan O. Scully and published by Cambridge University Press. This book was released on 1997-09-04 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: An in-depth and wide-ranging introduction to the field of quantum optics.
Download or read book Selected Papers on Wave Mechanics written by Louis de Broglie and published by . This book was released on 1928 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Optical Beam Characterization via Phase Space Tomography written by Alejandro Cámara and published by Springer. This book was released on 2015-07-18 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis focuses on the fundamental problem of characterising partially coherent beams. The book describes several non-interferometric methods based on phase-space tomography for recovering the spatial coherence information of optical beams. In the context of optical beams, partially coherent light provides numerous advantages over coherent light. From microscopy to optical communications, there are many disciplines that benefit from using partially coherent beams. However, their range of applications currently remains limited due to the complexity of extracting information. In addition to providing a feasible experimental solution for the general case, the book explores several situations in which beam symmetries are exploited to simplify the information extraction process. Each characterisation method is accompanied by a corresponding theoretical explanation and a thorough description of experimental examples.
Download or read book Selected Papers on Coherence and Radiometry written by Ari T. Friberg and published by . This book was released on 1993 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Modern Challenges in Quantum Optics written by Miguel Orszag and published by Springer. This book was released on 2008-01-11 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Optics is a rapidly progressing field well suited to probe the many fundamental issues raised by the subtleties of quantum physics. This book consists of a collection of reviews and papers that highlight the most important challenges faced in this area of research, including topics such as cavity QED, quantum entanglement, decoherence, matter waves and nonlinear optics. It will be a source of reference for all those who wish to familiarize themselves with the latest developments in the field.
Download or read book Quantum Theory of Optical Coherence written by Roy J. Glauber and published by John Wiley & Sons. This book was released on 2007-04-09 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: A summary of the pioneering work of Glauber in the field of optical coherence phenomena and photon statistics, this book describes the fundamental ideas of modern quantum optics and photonics in a tutorial style. It is thus not only intended as a reference for researchers in the field, but also to give graduate students an insight into the basic theories of the field. Written by the Nobel Laureate himself, the concepts described in this book have formed the basis for three further Nobel Prizes in Physics within the last decade.
