Mathematical Methods Of Quantum Optics
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Mathematical Methods Of Quantum Optics
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Author : Ravinder R. Puri
language : en
Publisher: Springer
Release Date : 2012-11-02
Mathematical Methods Of Quantum Optics written by Ravinder R. Puri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-02 with Science categories.
This book is intended to provide a much needed systematic exposition of the mathematical methods of quantum optics, something that is not found in existing books. It is primarily addressed to researchers who are new to the field. The emphasis, therefore, is on a simple and self-contained, yet concise, presentation. It provides a unified view of the concepts and the methods of quantum optics and aims to prepare a reader to handle specific situations. A number of formulae scattered throughout the scientific literature are also brought together in a natural manner. The broad plan of the book is to introduce first the basic physics and mathematical concepts, then to apply them to construct the model hamilto nians of the atom-field interaction and the master equation for an atom-field system interacting with the environment, and to analyze the equations so obtained. A brief description of the contents of the chapters is as follows.
Mathematical Methods Of Quantum Optics
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Author : Ravinder R. Puri
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-01-18
Mathematical Methods Of Quantum Optics written by Ravinder R. Puri 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 2001-01-18 with Mathematics categories.
Starting from first principles, this reference treats the theoretical aspects of quantum optics. It develops a unified approach for determining the dynamics of a two-level and three-level atom in combinations of quantized field under certain conditions.
Mathematical Optics
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Author : Vasudevan Lakshminarayanan
language : en
Publisher: CRC Press
Release Date : 2018-10-08
Mathematical Optics written by Vasudevan Lakshminarayanan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-08 with Science categories.
Going beyond standard introductory texts, Mathematical Optics: Classical, Quantum, and Computational Methods brings together many new mathematical techniques from optical science and engineering research. Profusely illustrated, the book makes the material accessible to students and newcomers to the field. Divided into six parts, the text presents state-of-the-art mathematical methods and applications in classical optics, quantum optics, and image processing. Part I describes the use of phase space concepts to characterize optical beams and the application of dynamic programming in optical waveguides. Part II explores solutions to paraxial, linear, and nonlinear wave equations. Part III discusses cutting-edge areas in transformation optics (such as invisibility cloaks) and computational plasmonics. Part IV uses Lorentz groups, dihedral group symmetry, Lie algebras, and Liouville space to analyze problems in polarization, ray optics, visual optics, and quantum optics. Part V examines the role of coherence functions in modern laser physics and explains how to apply quantum memory channel models in quantum computers. Part VI introduces super-resolution imaging and differential geometric methods in image processing. As numerical/symbolic computation is an important tool for solving numerous real-life problems in optical science, many chapters include Mathematica® code in their appendices. The software codes and notebooks as well as color versions of the book’s figures are available at www.crcpress.com.
Methods In Theoretical Quantum Optics
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Author : Stephen Barnett
language : en
Publisher: Oxford University Press
Release Date : 2002-11-14
Methods In Theoretical Quantum Optics written by Stephen Barnett and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-14 with Mathematics categories.
This work presents the mathematical methods widely used by workers in the field of quantum optics. It deals with the physical assumptions which lead to the models and approximations employed, but the main purpose of the text is to give a firm grounding in those techniques needed to derive analytical solutions to problems.
Statistical Methods In Quantum Optics 1
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Author : Howard J. Carmichael
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Statistical Methods In Quantum Optics 1 written by Howard J. Carmichael 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 2013-04-17 with Science categories.
As a graduate student working in quantum optics I encountered the question that might be taken as the theme of this book. The question definitely arose at that time though it was not yet very clearly defined; there was simply some deep irritation caused by the work I was doing, something quite fundamental I did not understand. Of course, so many things are not understood when one is a graduate student. However, my nagging question was not a technical issue, not merely a mathematical concept that was difficult to grasp. It was a sense that certain elementary notions that are accepted as starting points for work in quantum optics somehow had no fundamental foundation, no identifiable root. My inclination was to mine physics vertically, and here was a subject whose tunnels were dug horizontally. There were branches, certainly, going up and going down. Nonetheless, something major in the downwards direction was missing-at least in my understanding; no doubt others understood the connections downwards very well. In retrospect I can identify the irritation. Quantum optics deals primarily with dynamics, quantum dynamics, and in doing so makes extensive use of words like "quantum fluctuations" and "quantum noise. " The words seem harmless enough. Surely the ideas behind them are quite clear; after all, quantum mechanics is a statistical theory, and in its dynamical aspects it is therefore a theory of fluctuations. But there was my problem. Nothing in Schrodinger's equation fluctuates.
Mathematical Methods Of Quantum Optics
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Author : Ravinder R Puri
language : en
Publisher:
Release Date : 2001-01-18
Mathematical Methods Of Quantum Optics written by Ravinder R Puri and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-18 with categories.
Mathematical Methods Of Quantum Optics
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Author : Puri
language : en
Publisher:
Release Date : 2009-08-01
Mathematical Methods Of Quantum Optics written by Puri and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-01 with categories.
Mathematical Methods For Optical Physics And Engineering
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Author : Gregory J. Gbur
language : en
Publisher: Cambridge University Press
Release Date : 2011-01-06
Mathematical Methods For Optical Physics And Engineering written by Gregory J. Gbur and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-06 with Science categories.
The first textbook on mathematical methods focusing on techniques for optical science and engineering, this text is ideal for upper division undergraduate and graduate students in optical physics. Containing detailed sections on the basic theory, the textbook places strong emphasis on connecting the abstract mathematical concepts to the optical systems to which they are applied. It covers many topics which usually only appear in more specialized books, such as Zernike polynomials, wavelet and fractional Fourier transforms, vector spherical harmonics, the z-transform, and the angular spectrum representation. Most chapters end by showing how the techniques covered can be used to solve an optical problem. Essay problems based on research publications and numerous exercises help to further strengthen the connection between the theory and its applications.
Statistical Methods In Quantum Optics 2
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Author : Howard J. Carmichael
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-25
Statistical Methods In Quantum Optics 2 written by Howard J. Carmichael 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 2009-04-25 with Science categories.
This second volume of Howard Carmichael’s work continues the development of the methods used in quantum optics to treat open quantum systems and their fluctuations. Its early chapters build upon the phase-space methods introduced in Volume 1. Written on a level suitable for debut researchers or students in an advanced course in quantum optics, or a course in quantum mechanics or statistical physics that deals with open quantum systems.
Mathematical Methods In Physics
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Author : Philippe Blanchard
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematical Methods In Physics written by Philippe Blanchard 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 Mathematics categories.
Physics has long been regarded as a wellspring of mathematical problems. Mathematical Methods in Physics is a self-contained presentation, driven by historic motivations, excellent examples, detailed proofs, and a focus on those parts of mathematics that are needed in more ambitious courses on quantum mechanics and classical and quantum field theory. Aimed primarily at a broad community of graduate students in mathematics, mathematical physics, physics and engineering, as well as researchers in these disciplines.