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Unitary Representations Of The Poincar Group And Relativistic Wave Equations
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Book Synopsis Unitary Representations Of The Poincare Group And Relativistic Wave Equations by : Y Ohnuki
Download or read book Unitary Representations Of The Poincare Group And Relativistic Wave Equations written by Y Ohnuki and published by World Scientific. This book was released on 1988-04-01 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Unitary Representations of the Poincaré Group and Relativistic Wave Equations by : Yoshio Ohnuki
Download or read book Unitary Representations of the Poincaré Group and Relativistic Wave Equations written by Yoshio Ohnuki and published by . This book was released on 1988 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Book Synopsis In the Scope of Logic, Methodology and Philosophy of Science by : Peter Gärdenfors
Download or read book In the Scope of Logic, Methodology and Philosophy of Science written by Peter Gärdenfors and published by Springer Science & Business Media. This book was released on 2002-12-31 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first of two volumes containing papers submitted by the invited speakers to the 11th International Congress of Logic, Methodology and Philosophy of Science, held in Cracow in 1999, under the auspices of the International Union of History and Philosophy of Science, Division of Logic, Methodology and Philosophy of Science. The invited speakers are the leading researchers and accordingly the book presents the current state of the intellectual discourse in the respective fields. The papers delivered at the congress were divided into 17 sections. Thus the structure of the volume corresponds to the very schedule of the congress. Volume one contains the opening lecture by Andrzej K. Wróblewski as well as invited papers in sections of Proof Theory, Model Theory, Recursion Theory, Axiomatic Set Theory, Logic and Computation, Logic, Language and Cognition, Methodology, Probability, Induction, and Decision Theory, Philosophy of Logic, Mathematics, and Computer Science, and Philosophy of the Physical Sciences.
Book Synopsis The Ultimate Constituents of the Material World by : Meinard Kuhlmann
Download or read book The Ultimate Constituents of the Material World written by Meinard Kuhlmann and published by Walter de Gruyter. This book was released on 2013-05-02 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today, quantum field theory (QFT)—the mathematical and conceptual framework for contemporary elementary particle physics—is the best starting point for analysing the fundamental building blocks of the material world. QFT if taken seriously in its metaphysical implications yields a picture of the world that is at variance with central classical conceptions. The core of Kuhlmann’s investigation consists in the analysis of various ontological interpretations of QFT, e.g. substance ontologies as well as a process-ontological approach. Eventually, Kuhlmann proposes a dispositional trope ontology, according to which particularized properties and not things are the most basic entities, in terms of which all other entities are to be analysed, e.g as bundles of properties. This book was chosen for the 2009 ontos-Award for research on analytical ontology and metaphysics by the German Society for Analytical Philosophy.
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.
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1973 with total page 1412 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advanced Quantum Mechanics by : Franz Schwabl
Download or read book Advanced Quantum Mechanics written by Franz Schwabl and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis 60 Years Of Yang-mills Gauge Field Theories: C N Yang's Contributions To Physics by : Lars Brink
Download or read book 60 Years Of Yang-mills Gauge Field Theories: C N Yang's Contributions To Physics written by Lars Brink and published by World Scientific. This book was released on 2016-04-21 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last six decades, Yang-Mills theory has increasingly become the cornerstone of theoretical physics. It is seemingly the only fully consistent relativistic quantum many-body theory in four space-time dimensions. As such it is the underlying theoretical framework for the Standard Model of Particle Physics, which has been shown to be the correct theory at the energies we now can measure. It has been investigated also from many other perspectives, and many new and unexpected features have been uncovered from this theory. In recent decades, apart from high energy physics, the theory has been actively applied in other branches of physics, such as statistical physics, condensed matter physics, nonlinear systems, etc. This makes the theory an indispensable topic for all who are involved in physics.The conference celebrated the exceptional achievements using Yang-Mills theory over the years but also many other truly remarkable contributions to different branches of physics from Prof C N Yang. This volume collects the invaluable talks by Prof C N Yang and the invited speakers reviewing these remarkable contributions and their importance for the future of physics.
Book Synopsis Relativity, Symmetry, and the Structure of Quantum Theory, Volume 2 by : William H Klink
Download or read book Relativity, Symmetry, and the Structure of Quantum Theory, Volume 2 written by William H Klink and published by Morgan & Claypool Publishers. This book was released on 2018-03-23 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first version of quantum theory, developed in the mid 1920's, is what is called nonrelativistic quantum theory; it is based on a form of relativity which, in a previous volume, was called Newton relativity. But quickly after this first development, it was realized that, in order to account for high energy phenomena such as particle creation, it was necessary to develop a quantum theory based on Einstein relativity. This in turn led to the development of relativistic quantum field theory, which is an intrinsically many-body theory. But this is not the only possibility for a relativistic quantum theory. In this book we take the point of view of a particle theory, based on the irreducible representations of the Poincare group, the group that expresses the symmetry of Einstein relativity. There are several ways of formulating such a theory; we develop what is called relativistic point form quantum mechanics, which, unlike quantum field theory, deals with a fixed number of particles in a relativistically invariant way. A central issue in any relativistic quantum theory is how to introduce interactions without spoiling relativistic invariance. We show that interactions can be incorporated in a mass operator, in such a way that relativistic invariance is maintained. Surprisingly for a relativistic theory, such a construction allows for instantaneous interactions; in addition, dynamical particle exchange and particle production can be included in a multichannel formulation of the mass operator. For systems of more than two particles, however, straightforward application of such a construction leads to the undesirable property that clusters of widely separated particles continue to interact with one another, even if the interactions between the individual particles are of short range. A significant part of this volume deals with the solution of this problem. Since relativistic quantum mechanics is not as well-known as relativistic quantum field theory, a chapter is devoted to applications of point form quantum mechanics to nuclear physics; in particular we show how constituent quark models can be used to derive electromagnetic and other properties of hadrons.
Book Synopsis Proceedings Of The V Wigner Symposium by : Peter Kasperkovitz
Download or read book Proceedings Of The V Wigner Symposium written by Peter Kasperkovitz and published by World Scientific. This book was released on 1998-06-30 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Wigner Symposia deal with the most recent developments in those mathematical areas which were introduced to physics by E P Wigner, and also with related fields. The central themes of the proceedings of the 5th Wigner Symposium (WigSym5) are quantum algebras and groups, group-theoretical developments, quantum field theory and geometry, and phase space formulations of quantum mechanics. The proceedings also contain papers on the application of these techniques in various branches of physics, and many contributions in which fundamental mathematical and epistemological questions related to the foundations of quantum theory are discussed.
Download or read book Free Theory written by Anders Bengtsson and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-06-22 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Theory of Group Representations and Applications by : Asim Orhan Barut
Download or read book Theory of Group Representations and Applications written by Asim Orhan Barut and published by World Scientific. This book was released on 1986 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lie!algebras - Topological!groups - Lie!groups - Representations - Special!functions - Induced!representations.
Book Synopsis Foundations of Molecular Quantum Electrodynamics by : R. Guy Woolley
Download or read book Foundations of Molecular Quantum Electrodynamics written by R. Guy Woolley and published by Cambridge University Press. This book was released on 2022-09-15 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a comprehensive account of molecular quantum electrodynamics from the perspectives of physics and theoretical chemistry. The first part of the book establishes the essential concepts underlying classical electrodynamics, using the tools of Lagrangian and Hamiltonian mechanics. The second part focuses on the fundamentals of quantum mechanics, particularly how they relate to, and influence, chemical and molecular processes. The special case of the Coulomb Hamiltonian (including the celebrated Born-Oppenheimer approximation) is given a modern treatment. The final part of the book is devoted to non-relativistic quantum electrodynamics and describes in detail its impact upon our understanding of atoms and molecules, and their interaction with light. Particular attention is paid to the Power-Zienau-Woolley (PZW) representations, and both perturbative and non-perturbative approaches to QED calculation are discussed. This book is ideal for graduate students and researchers in chemical and molecular physics, quantum chemistry, and theoretical chemistry.
Book Synopsis Quantum Theory and Symmetries by : M. B. Paranjape
Download or read book Quantum Theory and Symmetries written by M. B. Paranjape and published by Springer Nature. This book was released on 2021 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of the CRM Conference Series is based on a carefully refereed selection of contributions presented at the "11th International Symposium on Quantum Theory and Symmetries", held in Montreal, Canada from July 1-5, 2019. The main objective of the meeting was to share and make accessible new research and recent results in several branches of Theoretical and Mathematical Physics, including Algebraic Methods, Condensed Matter Physics, Cosmology and Gravitation, Integrability, Non-perturbative Quantum Field Theory, Particle Physics, Quantum Computing and Quantum Information Theory, and String/ADS-CFT. There was also a special session in honour of Decio Levi. The volume is divided into sections corresponding to the sessions held during the symposium, allowing the reader to appreciate both the homogeneity and the diversity of mathematical tools that have been applied in these subject areas. Several of the plenary speakers, who are internationally recognized experts in their fields, have contributed reviews of the main topics to complement the original contributions. .
Book Synopsis BMS Particles in Three Dimensions by : Blagoje Oblak
Download or read book BMS Particles in Three Dimensions written by Blagoje Oblak and published by Springer. This book was released on 2017-08-01 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis presents the state of the art in the study of Bondi-Metzner-Sachs (BMS) symmetry and its applications in the simplified setting of three dimensions. It focuses on presenting all the background material in a pedagogical and self-contained manner to enable readers to fully appreciate the original results that have been obtained while learning a number of fundamental concepts in the field along the way. This makes it a highly rewarding read and a perfect starting point for anybody with a serious interest in the four-dimensional problem.
Download or read book Broken Symmetry written by T. Eguchi and published by World Scientific. This book was released on 1995 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
