Physics of the Lorentz Group

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Author :
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681742543
Total Pages : 138 pages
Book Rating : 4.6/5 (817 download)

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Book Synopsis Physics of the Lorentz Group by : Sibel Baskal

Download or read book Physics of the Lorentz Group written by Sibel Baskal and published by Morgan & Claypool Publishers. This book was released on 2015-11-01 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains the Lorentz mathematical group in a language familiar to physicists. While the three-dimensional rotation group is one of the standard mathematical tools in physics, the Lorentz group of the four-dimensional Minkowski space is still very strange to most present-day physicists. It plays an essential role in understanding particles moving at close to light speed and is becoming the essential language for quantum optics, classical optics, and information science. The book is based on papers and books published by the authors on the representations of the Lorentz group based on harmonic oscillators and their applications to high-energy physics and to Wigner functions applicable to quantum optics. It also covers the two-by-two representations of the Lorentz group applicable to ray optics, including cavity, multilayer and lens optics, as well as representations of the Lorentz group applicable to Stokes parameters and the Poincaré sphere on polarization optics.

Harmonic Oscillators and Two-By-Two Matrices in Symmetry Problems in Physics

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Author :
Publisher : MDPI
ISBN 13 : 3038425001
Total Pages : 369 pages
Book Rating : 4.0/5 (384 download)

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Book Synopsis Harmonic Oscillators and Two-By-Two Matrices in Symmetry Problems in Physics by : Young Suh Kim

Download or read book Harmonic Oscillators and Two-By-Two Matrices in Symmetry Problems in Physics written by Young Suh Kim and published by MDPI. This book was released on 2018-07-09 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Harmonic Oscillators In Modern Physics" that was published in Symmetry

Physics of the Lorentz Group

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Author :
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681740621
Total Pages : 173 pages
Book Rating : 4.6/5 (817 download)

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Book Synopsis Physics of the Lorentz Group by : Sibel Baskal

Download or read book Physics of the Lorentz Group written by Sibel Baskal and published by Morgan & Claypool Publishers. This book was released on 2015-11-01 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains the Lorentz mathematical group in a language familiar to physicists. While the three-dimensional rotation group is one of the standard mathematical tools in physics, the Lorentz group of the four-dimensional Minkowski space is still very strange to most present-day physicists. It plays an essential role in understanding particles moving at close to light speed and is becoming the essential language for quantum optics, classical optics, and information science. The book is based on papers and books published by the authors on the representations of the Lorentz group based on harmonic oscillators and their applications to high-energy physics and to Wigner functions applicable to quantum optics. It also covers the two-by-two representations of the Lorentz group applicable to ray optics, including cavity, multilayer and lens optics, as well as representations of the Lorentz group applicable to Stokes parameters and the Poincaré sphere on polarization optics.

Theory and Applications of the Poincaré Group

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9400945582
Total Pages : 346 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Theory and Applications of the Poincaré Group by : Young Suh Kim

Download or read book Theory and Applications of the Poincaré Group written by Young Suh Kim and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special relativity and quantum mechanics, formulated early in the twentieth century, are the two most important scientific languages and are likely to remain so for many years to come. In the 1920's, when quantum mechanics was developed, the most pressing theoretical problem was how to make it consistent with special relativity. In the 1980's, this is still the most pressing problem. The only difference is that the situation is more urgent now than before, because of the significant quantity of experimental data which need to be explained in terms of both quantum mechanics and special relativity. In unifying the concepts and algorithms of quantum mechanics and special relativity, it is important to realize that the underlying scientific language for both disciplines is that of group theory. The role of group theory in quantum mechanics is well known. The same is true for special relativity. Therefore, the most effective approach to the problem of unifying these two important theories is to develop a group theory which can accommodate both special relativity and quantum mechanics. As is well known, Eugene P. Wigner is one of the pioneers in developing group theoretical approaches to relativistic quantum mechanics. His 1939 paper on the inhomogeneous Lorentz group laid the foundation for this important research line. It is generally agreed that this paper was somewhat ahead of its time in 1939, and that contemporary physicists must continue to make real efforts to appreciate fully the content of this classic work.

New Perspectives On Einstein's E = Mc2

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Author :
Publisher : World Scientific
ISBN 13 : 9813237724
Total Pages : 205 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis New Perspectives On Einstein's E = Mc2 by : Young Suh Kim

Download or read book New Perspectives On Einstein's E = Mc2 written by Young Suh Kim and published by World Scientific. This book was released on 2018-09-18 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Einstein's energy-momentum relation is applicable to particles of all speeds, including the particle at rest and the massless particle moving with the speed of light. If one formula or formalism is applicable to all speeds, we say it is 'Lorentz-covariant.' As for the internal space-time symmetries, there does not appear to be a clear way to approach this problem. For a particle at rest, there are three spin degrees of freedom. For a massless particle, there are helicity and gauge degrees of freedom. The aim of this book is to present one Lorentz-covariant picture of these two different space-time symmetries. Using the same mathematical tool, it is possible to give a Lorentz-covariant picture of Gell-Mann's quark model for the proton at rest and Feynman's parton model for the fast-moving proton. The mathematical formalism for these aspects of the Lorentz covariance is based on two-by-two matrices and harmonic oscillators which serve as two basic scientific languages for many different branches of physics. It is pointed out that the formalism presented in this book is applicable to various aspects of optical sciences of current interest.

Theory of Nonclassical States of Light

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Publisher : CRC Press
ISBN 13 : 9780415284134
Total Pages : 392 pages
Book Rating : 4.2/5 (841 download)

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Book Synopsis Theory of Nonclassical States of Light by : V.V. Dodonov

Download or read book Theory of Nonclassical States of Light written by V.V. Dodonov and published by CRC Press. This book was released on 2003-03-13 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The term 'nonclassical states' refers to the quantum states that cannot be produced in the usual sources of light, such as lasers or lamps, rather than those requiring more sophisticated apparatus for their production. Theory of Non-classical States of Light describes the current status of the theory of nonclassical states of light including many new and important results as well as introductory material and the history of the subject. The authors concentrate on the most important types of nonclassical states, namely squeezed, even/odd ('Schrodinger cat') and binomial states, including their generalizations. However, a review of other types of nonclassical is also given in the introduction, and methods for generating nonclassical states on various processes of light-matter interaction, their phase-space description, and the time evolution of nonclassical states in these processes is presented in separate chapters. This contributed volume contains all of the necessary formulae and references required to gain a good understanding of the principles and current status of the field. It will provide a valuable information resource for advanced students and researchers in quantum physics.

Quantum Optics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642795048
Total Pages : 356 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Quantum Optics by : D.F. Walls

Download or read book Quantum Optics written by D.F. Walls and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Optics gives a comprehensive coverage of developments in quantum optics over the past twenty years. In the early chapters the formalism of quantum optics is elucidated and the main techniques are introduced. These are applied in the later chapters to problems such as squeezed states of light, resonance fluorescence, laser theory, quantum theory of four-wave mixing, quantum non-demolition measurements, Bell's inequalities, and atom optics. Experimental results are used to illustrate the theory throughout. This yields the most comprehensive and up-to-date coverage of experiment and theory in quantum optics in any textbook.

Mathematical Optics

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Publisher : CRC Press
ISBN 13 : 143986960X
Total Pages : 632 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Mathematical Optics by : Vasudevan Lakshminarayanan

Download or read book Mathematical Optics written by Vasudevan Lakshminarayanan and published by CRC Press. This book was released on 2012-12-14 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Devices for Optical Sciences

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Author :
Publisher :
ISBN 13 : 9780750316132
Total Pages : 0 pages
Book Rating : 4.3/5 (161 download)

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Book Synopsis Mathematical Devices for Optical Sciences by : Sibel Başkal

Download or read book Mathematical Devices for Optical Sciences written by Sibel Başkal and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The Lorentz group which is the underlying scientific language for modern optics has been most notably used for understanding Einstein's special relativity. By using a simplified approach of two-by-two matrices and Wigner functions, this book provides a basic and novel approach to classical and quantum optics, making these often-difficult subjects more transparent to the reader. Written by three experts in the field, Professors Sibel Baðskal, Young S. Kim, and Marilyn E Noz, this book will give the reader a comprehensive overview of how fundamental issues in quantum mechanics can be approached using various optical instruments, Wigner functions, and quantum entanglement." -- Prové de l'editor.

Phase Space Picture Of Quantum Mechanics: Group Theoretical Approach

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Author :
Publisher : World Scientific
ISBN 13 : 9814506672
Total Pages : 352 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Phase Space Picture Of Quantum Mechanics: Group Theoretical Approach by : Young Suh Kim

Download or read book Phase Space Picture Of Quantum Mechanics: Group Theoretical Approach written by Young Suh Kim and published by World Scientific. This book was released on 1991-03-06 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Schrödinger 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.

Linear Representations of the Lorentz Group

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Author :
Publisher : Elsevier
ISBN 13 : 1483184986
Total Pages : 465 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Linear Representations of the Lorentz Group by : M. A. Naimark

Download or read book Linear Representations of the Lorentz Group written by M. A. Naimark and published by Elsevier. This book was released on 2014-07-15 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Representations of the Lorentz Group is a systematic exposition of the theory of linear representations of the proper Lorentz group and the complete Lorentz group. This book consists of four chapters. The first two chapters deal with the basic material on the three-dimensional rotation group, on the complete Lorentz group and the proper Lorentz group, as well as the theory of representations of the three-dimensional rotation group. These chapters also provide the necessary basic information from the general theory of group representations. The third chapter is devoted to the representations of the proper Lorentz group and the complete Lorentz group, while the fourth chapter examines the theory of invariant equations. This book will prove useful to mathematicians and students.

Quantum Theory

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Publisher : American Institute of Physics
ISBN 13 :
Total Pages : 484 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Quantum Theory by : Guillaume Adenier

Download or read book Quantum Theory written by Guillaume Adenier and published by American Institute of Physics. This book was released on 2006-01-05 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Växjö conference was devoted to the reconsideration of quantum foundations. Due to increasing research in quantum information theory, especially on quantum computing and cryptography, many questions regarding the foundations of quantum mechanics, which have long been considered to be exclusively of philosophical interest, nowadays play an important role in theoretical and experimental quantum physics.

The Strangest Man

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Publisher : Faber & Faber
ISBN 13 : 0571250076
Total Pages : 554 pages
Book Rating : 4.5/5 (712 download)

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Book Synopsis The Strangest Man by : Graham Farmelo

Download or read book The Strangest Man written by Graham Farmelo and published by Faber & Faber. This book was released on 2009-01-22 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'A monumental achievement - one of the great scientific biographies.' Michael Frayn The Strangest Man is the Costa Biography Award-winning account of Paul Dirac, the famous physicist sometimes called the British Einstein. He was one of the leading pioneers of the greatest revolution in twentieth-century science: quantum mechanics. The youngest theoretician ever to win the Nobel Prize for Physics, he was also pathologically reticent, strangely literal-minded and legendarily unable to communicate or empathize. Through his greatest period of productivity, his postcards home contained only remarks about the weather.Based on a previously undiscovered archive of family papers, Graham Farmelo celebrates Dirac's massive scientific achievement while drawing a compassionate portrait of his life and work. Farmelo shows a man who, while hopelessly socially inept, could manage to love and sustain close friendship.The Strangest Man is an extraordinary and moving human story, as well as a study of one of the most exciting times in scientific history. 'A wonderful book . . . Moving, sometimes comic, sometimes infinitely sad, and goes to the roots of what we mean by truth in science.' Lord Waldegrave, Daily Telegraph

Quantum Electrodynamics

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Publisher : Elsevier
ISBN 13 : 0080503462
Total Pages : 669 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Quantum Electrodynamics by : V B Berestetskii

Download or read book Quantum Electrodynamics written by V B Berestetskii and published by Elsevier. This book was released on 2012-12-02 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several significant additions have been made to the second edition, including the operator method of calculating the bremsstrahlung cross-section, the calcualtion of the probabilities of photon-induced pair production and photon decay in a magnetic field, the asymptotic form of the scattering amplitudes at high energies, inelastic scattering of electrons by hadrons, and the transformation of electron-positron pairs into hadrons.

Testing the Standard Model

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Publisher :
ISBN 13 : 9789814540070
Total Pages : 934 pages
Book Rating : 4.5/5 (4 download)

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Book Synopsis Testing the Standard Model by : Mirjam Cvetič

Download or read book Testing the Standard Model written by Mirjam Cvetič and published by . This book was released on 1991 with total page 934 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Rotation and Lorentz Groups and Their Representations for Physicists

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 9780470210444
Total Pages : 380 pages
Book Rating : 4.2/5 (14 download)

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Book Synopsis The Rotation and Lorentz Groups and Their Representations for Physicists by : K. Srinivasa Rao

Download or read book The Rotation and Lorentz Groups and Their Representations for Physicists written by K. Srinivasa Rao and published by John Wiley & Sons. This book was released on 1988 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a detailed, self-contained work on the rotation and Lorentz groups and their representations. Treatment of the structure of the groups is elaborate and includes many new results only recently published in journals. The chapter on linear vector spaces is exhaustive yet clear, and the book highlights the fact that all results of the orthosynchronous proper Lorentz group may be obtained from those of the rotation group via complex quaternions. The approach is unified, and special properties and exceptional cases are addressed.