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Author: Yoshio Ohnuki
Publisher: World Scientific
ISBN: 9789971502508
Category : Science
Languages : en
Pages : 234
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Book Description
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.
Author: Yoshio Ohnuki
Publisher: World Scientific
ISBN: 9789971502508
Category : Science
Languages : en
Pages : 234
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Book Description
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.
Author: Young Suh Kim
Publisher: Springer Science & Business Media
ISBN: 9400945582
Category : Science
Languages : en
Pages : 346
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Book Description
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: Franz Schwabl
Publisher: Springer Science & Business Media
ISBN: 3662054183
Category : Science
Languages : en
Pages : 412
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Book Description
This book covers advanced topics in quantum mechanics, including nonrelativistic multi-particle systems, relativistic wave equations, and relativistic fields. Numerous examples for application help readers gain a thorough understanding of the subject. The presentation of relativistic wave equations and their symmetries, and the fundamentals of quantum field theory lay the foundations for advanced studies in solid-state physics, nuclear, and elementary particle physics. The authors earlier book, Quantum Mechanics, was praised for its unsurpassed clarity.
Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 886
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Book Description
Author: Wu-Ki Tung
Publisher: World Scientific
ISBN: 9789971966577
Category : Science
Languages : en
Pages : 372
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Book Description
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: Anders Bengtsson
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110451778
Category : Science
Languages : en
Pages : 374
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Book Description
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: Wu-Ki Tung
Publisher: World Scientific Publishing Company
ISBN: 981310404X
Category : Representations of groups
Languages : en
Pages : 336
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Book Description
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: George Maroulis
Publisher: CRC Press
ISBN: 904741862X
Category : Computers
Languages : en
Pages : 606
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Book Description
Contains a collection of the lectures of the invited speakers presented at the International Conference of Computational methods in Science and Engineering (ICCMSE 2006), held in Chania, Greece, October 2006. This book presents developments of Computational Science pertinent to Physics, Chemistry, Biology, Medicine, Mathematics and Engineering.
Author: Mike Guidry
Publisher: Cambridge University Press
ISBN: 1316518612
Category : Mathematics
Languages : en
Pages : 665
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Book Description
A pedagogical introduction to the modern applications of groups, algebras, and topology for undergraduate and graduate students in physics.
Author: Asim Orhan Barut
Publisher: World Scientific
ISBN: 9789971502171
Category : Mathematics
Languages : en
Pages : 750
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Book Description
Lie!algebras - Topological!groups - Lie!groups - Representations - Special!functions - Induced!representations.
