Massless Representations of the Poincaré Group
Title | Massless Representations of the Poincaré Group PDF eBook |
Author | R. Mirman |
Publisher | iUniverse |
Pages | 233 |
Release | 2005-05 |
Genre | Elektromanyetizma |
ISBN | 0595341241 |
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.
Massless representations of the Poincare group and some applications to photons and gravitons in vacuum
Title | Massless representations of the Poincare group and some applications to photons and gravitons in vacuum PDF eBook |
Author | Anne Dunne |
Publisher | |
Pages | |
Release | 1976 |
Genre | Mathematical Physics Theses |
ISBN |
Unitary Representations of the Poincar Group and Relativistic Wave Equations
Title | Unitary Representations of the Poincar Group and Relativistic Wave Equations PDF eBook |
Author | Yoshio Ohnuki |
Publisher | World Scientific |
Pages | 234 |
Release | 1988 |
Genre | Science |
ISBN | 9789971502508 |
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.
Theory and Applications of the Poincaré Group
Title | Theory and Applications of the Poincaré Group PDF eBook |
Author | Young Suh Kim |
Publisher | Springer Science & Business Media |
Pages | 346 |
Release | 2012-12-06 |
Genre | Science |
ISBN | 9400945582 |
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.
Cubic Scattering Amplitudes for All Massless Representations of the Poincare Group in Any Space-time Dimension
Title | Cubic Scattering Amplitudes for All Massless Representations of the Poincare Group in Any Space-time Dimension PDF eBook |
Author | E. S. Fradkin |
Publisher | |
Pages | 18 |
Release | 1996 |
Genre | Space sciences |
ISBN |
Wigner's Analysis of the Unitary Representations of the Poincaré Group
Title | Wigner's Analysis of the Unitary Representations of the Poincaré Group PDF eBook |
Author | Francis R. Halpern |
Publisher | |
Pages | 70 |
Release | 1965 |
Genre | Group theory |
ISBN |
Unitary Representations Of The Poincare Group And Relativistic Wave Equations
Title | Unitary Representations Of The Poincare Group And Relativistic Wave Equations PDF eBook |
Author | Y Ohnuki |
Publisher | World Scientific |
Pages | 228 |
Release | 1988-04-01 |
Genre | Mathematics |
ISBN | 9814513741 |
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.