Unitary Representations Of The Poincaré Group And Relativistic Wave Equations

Author : Y Ohnuki
Publisher : World Scientific
Page : 228 pages
File Size : 52,7 Mb
Release : 1988-04-01
Category : Electronic
ISBN : 9789814513746

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Unitary Representations of the Poincaré Group and Relativistic Wave Equations by Y Ohnuki Pdf

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. Contents:Introduction:Transformation and InvariancePoincaré Group and Free ParticlesLorentz Group:Double-Valued RepresentationsSpinor RepresentationsInfinitesimal TransformationsIrreducible Representations of the Poincaré Group:Translational TransformationsLorentz TransformationsLittle GroupsIrreducible RepresentationsUnitary Representations of Little Groups:Rotation GroupTwo-Dimensional Euclidean GroupLorentz GroupThree-Dimensional Lorentz GroupClassifications of Free ParticlesWigner Rotations:Particles with Finite MassParticles with Zero MassParticles with Imaginary MassAngular Momenta of Massless ParticlesCovariant Formalism I — Massive Particles:Particles with Spin ODirac ParticlesParticles with Higher SpinGeneralized Bargmann-Wigner Equationsγ MatricesDiscrete TransformationsOther Covariant FormalismsCovariant Formalism II — Massless Particles:Particles with Discrete SpinDiscrete TransformationsCovariant Inner ProductsParticles with Continuous SpinQuantized Fields:Quantum Theory of Matter WavesHarmonic OscillatorsScalar FieldsSpin and StatisticsPoincaré Group and Free Fields Readership: Theoretical physicists and mathematicians. Keywords:Relativistic Wave Equations;Poincare;Relativistic Pictures of Particles in Quantum Mechanics;Quantum Theory;Relativistic Quantum Field Theory;Lorentz Group;Unitary Representation;Wigner Rotations

Author : Yoshio Ohnuki
Publisher : Unknown
Page : 213 pages
File Size : 49,9 Mb
Release : 1988
Category : Group theory
ISBN : OCLC:471865157

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Unitary Representations of the Poincaré Group and Relativistic Wave Equations by Yoshio Ohnuki Pdf

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.

Author : Young Suh Kim,M. Noz
Publisher : Springer Science & Business Media
Page : 346 pages
File Size : 42,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400945586

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Theory and Applications of the Poincaré Group by Young Suh Kim,M. Noz Pdf

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.

Author : M. Noz,Young Suh Kim
Publisher : Springer Science & Business Media
Page : 510 pages
File Size : 51,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400930513

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Special Relativity and Quantum Theory by M. Noz,Young Suh Kim Pdf

Special relativity and quantum mechanics are likely to remain the two most important languages in physics for many years to come. The underlying language for both disciplines is group theory. Eugene P. Wigner's 1939 paper on the Unitary Representations of the Inhomogeneous Lorentz Group laid the foundation for unifying the concepts and algorithms of quantum mechanics and special relativity. In view of the strong current interest in the space-time symmetries of elementary particles, it is safe to say that Wigner's 1939 paper was fifty years ahead of its time. This edited volume consists of Wigner's 1939 paper and the major papers on the Lorentz group published since 1939. . This volume is intended for graduate and advanced undergraduate students in physics and mathematics, as well as mature physicists wishing to understand the more fundamental aspects of physics than are available from the fashion-oriented theoretical models which come and go. The original papers contained in this volume are useful as supplementary reading material for students in courses on group theory, relativistic quantum mechanics and quantum field theory, relativistic electrodynamics, general relativity, and elementary particle physics. This reprint collection is an extension of the textbook by the present editors entitled "Theory and Applications of the Poincare Group." Since this book is largely based on the articles contained herein, the present volume should be viewed as a reading for the previous work. continuation of and supplementary We would like to thank Professors J. Bjorken, R. Feynman, R. Hofstadter, J.

Author : Mike Guidry,Yang Sun
Publisher : Cambridge University Press
Page : 665 pages
File Size : 44,9 Mb
Release : 2022-03-31
Category : Mathematics
ISBN : 9781316518618

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Symmetry, Broken Symmetry, and Topology in Modern Physics by Mike Guidry,Yang Sun Pdf

A pedagogical introduction to the modern applications of groups, algebras, and topology for undergraduate and graduate students in physics.

Author : Anonim
Publisher : Unknown
Page : 1142 pages
File Size : 44,8 Mb
Release : 1973
Category : Nuclear energy
ISBN : UOM:39015026176464

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Nuclear Science Abstracts by Anonim Pdf

Author : Wu-Ki Tung
Publisher : World Scientific Publishing Company
Page : 336 pages
File Size : 40,5 Mb
Release : 1985-08-31
Category : Representations of groups
ISBN : 9789813104044

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Group Theory in Physics by Wu-Ki Tung Pdf

An introductory text book for graduates and advanced undergraduates on group representation theory. It emphasizes group theory's role as the mathematical framework for describing symmetry properties of classical and quantum mechanical systems. Familiarity with basic group concepts and techniques is invaluable in the education of a modern-day physicist. This book emphasizes general features and methods which demonstrate the power of the group-theoretical approach in exposing the systematics of physical systems with associated symmetry. Particular attention is given to pedagogy. In developing the theory, clarity in presenting the main ideas and consequences is given the same priority as comprehensiveness and strict rigor. To preserve the integrity of the mathematics, enough technical information is included in the appendices to make the book almost self-contained. A set of problems and solutions has been published in a separate booklet. Request Inspection Copy

Author : Wu-Ki Tung
Publisher : World Scientific
Page : 368 pages
File Size : 45,8 Mb
Release : 1985
Category : Science
ISBN : 9789971966560

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Group Theory in Physics by Wu-Ki Tung Pdf

An introductory text book for graduates and advanced undergraduates on group representation theory. It emphasizes group theory's role as the mathematical framework for describing symmetry properties of classical and quantum mechanical systems. Familiarity with basic group concepts and techniques is invaluable in the education of a modern-day physicist. This book emphasizes general features and methods which demonstrate the power of the group-theoretical approach in exposing the systematics of physical systems with associated symmetry. Particular attention is given to pedagogy. In developing the theory, clarity in presenting the main ideas and consequences is given the same priority as comprehensiveness and strict rigor. To preserve the integrity of the mathematics, enough technical information is included in the appendices to make the book almost self-contained. A set of problems and solutions has been published in a separate booklet.

Author : Traubenberg M Rausch De,Strursberg R Campoamor
Publisher : World Scientific
Page : 760 pages
File Size : 55,5 Mb
Release : 2018-09-19
Category : Science
ISBN : 9789813273627

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Group Theory In Physics: A Practitioner's Guide by Traubenberg M Rausch De,Strursberg R Campoamor Pdf

This book presents the study of symmetry groups in Physics from a practical perspective, i.e. emphasising the explicit methods and algorithms useful for the practitioner and profusely illustrating by examples.The first half reviews the algebraic, geometrical and topological notions underlying the theory of Lie groups, with a review of the representation theory of finite groups. The topic of Lie algebras is revisited from the perspective of realizations, useful for explicit computations within these groups. The second half is devoted to applications in physics, divided into three main parts — the first deals with space-time symmetries, the Wigner method for representations and applications to relativistic wave equations. The study of kinematical algebras and groups illustrates the properties and capabilities of the notions of contractions, central extensions and projective representations. Gauge symmetries and symmetries in Particle Physics are studied in the context of the Standard Model, finishing with a discussion on Grand-Unified Theories.

Author : Anders Bengtsson
Publisher : Walter de Gruyter GmbH & Co KG
Page : 374 pages
File Size : 51,8 Mb
Release : 2020-06-22
Category : Science
ISBN : 9783110451771

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Free Theory by Anders Bengtsson Pdf

This monograph takes stock of the situation in higher spin gauge theories for the first time. Besides a thorough recapitulation of the field's history, it reviews the progress that has been made and offers a pedagogical introduction to the subject. Abstract approaches to the theory are offered to facilitate a conceptual rethinking of the main problems and to help see patterns hidden by heavy formalism.

Author : Emerson D. Seifer
Publisher : Nova Publishers
Page : 274 pages
File Size : 44,5 Mb
Release : 2007
Category : Science
ISBN : 1600213677

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Bosons, Ferromagnetism and Crystal Growth Research by Emerson D. Seifer Pdf

This book brings together new leading-edge research on bosons, ferromagnetism and crystal growth.

Author : Joseph M. Harrer,James G. Beckerley
Publisher : Unknown
Page : 1052 pages
File Size : 42,6 Mb
Release : 1973
Category : Nuclear engineering
ISBN : 0870790056

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Nuclear Power Reactor Instrumentation Systems Handbook by Joseph M. Harrer,James G. Beckerley Pdf

Author : Anders Bengtsson
Publisher : Walter de Gruyter GmbH & Co KG
Page : 372 pages
File Size : 41,7 Mb
Release : 2020-06-22
Category : Science
ISBN : 9783110450590

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Free Theory by Anders Bengtsson Pdf

The De Gruyter Studies in Mathematical Physics are devoted to the publication of monographs and high-level texts in mathematical physics. They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply and develop further, with sufficient rigor, mathematical methods to given problems in physics. For this reason, works with a few authors are preferred over edited volumes. The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They can also serve as secondary reading for lectures and seminars at advanced levels.

Author : Marco Lanzagorta
Publisher : Morgan & Claypool Publishers
Page : 481 pages
File Size : 46,8 Mb
Release : 2014-06-01
Category : Science
ISBN : 9781627056014

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Quantum Information in Gravitational Fields by Marco Lanzagorta Pdf

One of the major scientific thrusts in recent years has been to try to harness quantum phenomena to increase dramatically the performance of a wide variety of classical information processing devices. In particular, it is generally accepted that quantum co

Author : T. Eguchi
Publisher : World Scientific
Page : 487 pages
File Size : 42,6 Mb
Release : 1995
Category : Science
ISBN : 9789812795823

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Broken Symmetry by T. Eguchi Pdf

This text contains selected papers of the particle theorist, Professor Nambu. It comprises about 40 papers which made fundamental contributions to our understanding of particle physics during the last few decades. The unpublished lecture note on string theory (1969) and the first paper on spontaneous symmetry breaking (1961) are retyped and included. The book also contains a memoir of Professor Nambu on his research career.