Massless Representations of the Poincaré Group - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Massless Representations of the Poincaré Group write by R. Mirman. This book was released on 2005-05. Massless Representations of the Poincaré Group available in PDF, EPUB and Kindle. Preface 1 The Physical Meaning of Poincare Massless Representations 1 2 Massless Representations 12 3 Massless Fields are Different 32 4 How to Couple Massless and Massive Matter 56 5 The Behavior of Matter in Fields 73 6 Geometrical Reasons for the Poincare Group 95 7 Description of the Electromagnetic Field 123 8 The Equations Governing Free Gravitation 135 9 How Matter Determines Gravitational Fields 150 10 Nonlinearity and Geometry 165 11 Quantum Gravity 183 References 201 Index 207.
Theory and Applications of the Poincaré Group
Theory and Applications of the Poincaré Group - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Theory and Applications of the Poincaré Group write by Young Suh Kim. This book was released on 2012-12-06. Theory and Applications of the Poincaré Group available in PDF, EPUB and Kindle. 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.
Unitary Representations of the Poincar Group and Relativistic Wave Equations
Unitary Representations of the Poincar Group and Relativistic Wave Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Unitary Representations of the Poincar Group and Relativistic Wave Equations write by Yoshio Ohnuki. This book was released on 1988. Unitary Representations of the Poincar Group and Relativistic Wave Equations available in PDF, EPUB and Kindle. This book is devoted to an extensive and systematic study on unitary representations of the Poincar group. The Poincar group plays an important role in understanding the relativistic picture of particles in quantum mechanics. Complete knowledge of every free particle states and their behaviour can be obtained once all the unitary irreducible representations of the Poincar group are found. It is a surprising fact that a simple framework such as the Poincar group, when unified with quantum theory, fixes our possible picture of particles severely and without exception. In this connection, the theory of unitary representations of the Poincar group provides a fundamental concept of relativistic quantum mechanics and field theory.
Physics of the Lorentz Group
Physics of the Lorentz Group - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Physics of the Lorentz Group write by Sibel Baskal. This book was released on 2015-11-01. Physics of the Lorentz Group available in PDF, EPUB and Kindle. 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.
Unitary Representations Of The Poincare Group And Relativistic Wave Equations
Unitary Representations Of The Poincare Group And Relativistic Wave Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Unitary Representations Of The Poincare Group And Relativistic Wave Equations write by Y Ohnuki. This book was released on 1988-04-01. Unitary Representations Of The Poincare Group And Relativistic Wave Equations available in PDF, EPUB and Kindle. This book is devoted to an extensive and systematic study on unitary representations of the Poincaré group. The Poincaré group plays an important role in understanding the relativistic picture of particles in quantum mechanics. Complete knowledge of every free particle states and their behaviour can be obtained once all the unitary irreducible representations of the Poincaré group are found. It is a surprising fact that a simple framework such as the Poincaré group, when unified with quantum theory, fixes our possible picture of particles severely and without exception. In this connection, the theory of unitary representations of the Poincaré group provides a fundamental concept of relativistic quantum mechanics and field theory.
