Phase Space

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Phase Space

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Author : Stephen Baxter
language : en
Publisher: HarperCollins UK
Release Date : 2012-06-28

Phase Space written by Stephen Baxter and has been published by HarperCollins UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-28 with Fiction categories.

2025. Tied in to Baxter’s masterful Manifold trilogy, these thematically linked stories are drawn from the vast graph of possibilities across which the lives of hero Reid Malenfant have been scattered.

Quantum Mechanics In Phase Space

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Author : Cosmas Zachos
language : en
Publisher: World Scientific
Release Date : 2005

Quantum Mechanics In Phase Space written by Cosmas Zachos and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Science categories.

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.

Phase Space Picture Of Quantum Mechanics

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Author : Y. S. Kim
language : en
Publisher: World Scientific
Release Date : 1991

Phase Space Picture Of Quantum Mechanics written by Y. S. Kim and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Science categories.

This book covers the theory and applications of the Wigner phase space distribution function and its symmetry properties. The book explains why the phase space picture of quantum mechanics is needed, in addition to the conventional Schr”dinger or Heisenberg picture. It is shown that the uncertainty relation can be represented more accurately in this picture. In addition, the phase space picture is shown to be the natural representation of quantum mechanics for modern optics and relativistic quantum mechanics of extended objects.

Geometric Structures Of Phase Space In Multi Dimensional Chaos

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Author : Mikito Toda
language : en
Publisher: John Wiley and Sons
Release Date : 2005-01-28

Geometric Structures Of Phase Space In Multi Dimensional Chaos written by Mikito Toda and has been published by John Wiley and Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-28 with Science categories.

This series provides the chemical physics field with a forum for critical, authoritative evaluations of advances in every area of the discipline. Volume 130 in the series continues to report recent advances with significant, up-to-date chapters by internationally recognized researchers.

Geometric Optics On Phase Space

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Author : Kurt Bernardo Wolf
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-07-21

Geometric Optics On Phase Space written by Kurt Bernardo Wolf and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-07-21 with Science categories.

Symplectic geometry, well known as the basic structure of Hamiltonian mechanics, is also the foundation of optics. In fact, optical systems (geometric or wave) have an even richer symmetry structure than mechanical ones (classical or quantum). The symmetries underlying the geometric model of light are based on the symplectic group. Geometric Optics on Phase Space develops both geometric optics and group theory from first principles in their Hamiltonian formulation on phase space. This treatise provides the mathematical background and also collects a host of useful methods of practical importance, particularly the fractional Fourier transform currently used for image processing. The reader will appreciate the beautiful similarities between Hamilton's mechanics and this approach to optics. The appendices link the geometry thus introduced to wave optics through Lie methods. The book addresses researchers and graduate students.

Functional Phase Space Methods

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Author : Filippus S. Roux
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2025-08-04

Functional Phase Space Methods written by Filippus S. Roux and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-04 with Mathematics categories.

This book focuses on functional phase space methods in quantum optics and provides a comprehensive introduction to the Wigner functional formalism. The book shows how this formalism can be used for analyzing and designing practical photonic quantum information systems. It also explains in detail the application of the Wigner functional formalism to parametric down-conversion, an important process in quantum optics.

The Symmetry Perspective

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Author : Martin Golubitsky
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

The Symmetry Perspective written by Martin Golubitsky and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.

The framework of ‘symmetry’ provides an important route between the abstract theory and experimental observations. The book applies symmetry methods to dynamical systems, focusing on bifurcation and chaos theory. Its exposition is organized around a wide variety of relevant applications. From the reviews: "[The] rich collection of examples makes the book...extremely useful for motivation and for spreading the ideas to a large Community."--MATHEMATICAL REVIEWS

Phase Space Optics Fundamentals And Applications

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Author : Markus Testorf
language : en
Publisher: McGraw Hill Professional
Release Date : 2009-09-07

Phase Space Optics Fundamentals And Applications written by Markus Testorf and has been published by McGraw Hill Professional this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-07 with Technology & Engineering categories.

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

Harmonic Analysis In Phase Space

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Author : G. B. Folland
language : en
Publisher: Princeton University Press
Release Date : 1989-03-21

Harmonic Analysis In Phase Space written by G. B. Folland and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-03-21 with Mathematics categories.

This book provides the first coherent account of the area of analysis that involves the Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave packets, and related concepts. This circle of ideas comes principally from mathematical physics, partial differential equations, and Fourier analysis, and it illuminates all these subjects. The principal features of the book are as follows: a thorough treatment of the representations of the Heisenberg group, their associated integral transforms, and the metaplectic representation; an exposition of the Weyl calculus of pseudodifferential operators, with emphasis on ideas coming from harmonic analysis and physics; a discussion of wave packet transforms and their applications; and a new development of Howe's theory of the oscillator semigroup.

Particle Accelerator Physics I

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Author : Helmut Wiedemann
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Particle Accelerator Physics I written by Helmut Wiedemann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

In this second edition of Particle Accelerator Physics, Vol. 1, is mainly a reprint of the first edition without significant changes in content. The bibliography has been updated to include more recent progress in the field of particle accelerators. With the help of many observant readers a number of misprints and errors could be eliminated. The author would like to express his sincere appreciation to all those who have pointed out such shortcomings and wel comes such information and any other relevant information in the future. The author would also like to express his special thanks to the editor Dr. Helmut Lotsch and his staff for editorial as well as technical advice and support which contributed greatly to the broad acceptance of this text and made a second edition of both volumes necessary. Palo Alto, California Helmut Wiedemann November 1998 VII Preface to the First Edition The purpose of this textbook is to provide a comprehensive introduction into the physics of particle accelerators and particle beam dynamics. Parti cle accelerators have become important research tools in high energy physics as well as sources of incoherent and coherent radiation from the far infra red to hard x-rays for basic and applied research. During years of teaching accelerator physics it became clear that the single most annoying obstacle to get introduced into the field is the absence of a suitable textbook.