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Representations Of The Rotation And Lorentz Groups And Their Applications
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Book Synopsis Representations of the Rotation and Lorentz Groups and Their Applications by : I. M. Gelfand
Download or read book Representations of the Rotation and Lorentz Groups and Their Applications written by I. M. Gelfand and published by Courier Dover Publications. This book was released on 2018-04-18 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph on the description and study of representations of the rotation group of three-dimensional space and of the Lorentz group features advanced topics and techniques crucial to many areas of modern theoretical physics. Prerequisites include a familiarity with the differential and integral calculus of several variables and the fundamentals of linear algebra. Suitable for advanced undergraduate and graduate students in mathematical physics, the book is also designed for mathematicians studying the representations of Lie groups, for whom it can serve as an introduction to the general theory of representation. The treatment encompasses all the basic material of the theory of representations used in quantum mechanics. The two-part approach begins with representations of the group of rotations of three-dimensional space, analyzing the rotation group and its representations. The second part, covering representations of the Lorentz group, includes an exploration of relativistic-invariant equations. The text concludes with three helpful supplements and a bibliography.
Book Synopsis The Rotation and Lorentz Groups and Their Representations for Physicists by : K. Srinivasa Rao
Download or read book The Rotation and Lorentz Groups and Their Representations for Physicists written by K. Srinivasa Rao and published by John Wiley & Sons. This book was released on 1988 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a detailed, self-contained work on the rotation and Lorentz groups and their representations. Treatment of the structure of the groups is elaborate and includes many new results only recently published in journals. The chapter on linear vector spaces is exhaustive yet clear, and the book highlights the fact that all results of the orthosynchronous proper Lorentz group may be obtained from those of the rotation group via complex quaternions. The approach is unified, and special properties and exceptional cases are addressed.
Book Synopsis Representations of the Rotation and Lorentz Groups and Their Applications by : Izrailʹ Moiseevich Gelʹfand
Download or read book Representations of the Rotation and Lorentz Groups and Their Applications written by Izrailʹ Moiseevich Gelʹfand and published by . This book was released on 1963 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Representations of the Rotation and Lorentz Groups and Their Applications by : R. A. Minlos
Download or read book Representations of the Rotation and Lorentz Groups and Their Applications written by R. A. Minlos and published by . This book was released on 1963 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Representation of the Rotation and Lorentz Groups and Their Applications by : Izrailʹ M. Gelʹfand
Download or read book Representation of the Rotation and Lorentz Groups and Their Applications written by Izrailʹ M. Gelʹfand and published by . This book was released on 1963 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Representations of the Rotation Group and of the Lorentz Group, and Their Applications by : Izrail Moiseevic Gelʹfand
Download or read book Representations of the Rotation Group and of the Lorentz Group, and Their Applications written by Izrail Moiseevic Gelʹfand and published by . This book was released on 1963 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Representations of the Rotation and Lorentz Groups and Their Applications. (Predstavlenii︠a︡ Gruppy Vrashcheniĭ i Gruppy Lorent︠s︡a, Ikh Primenenii︠a︡ by : Izrailʹ Moiseevich Gelʹfand
Download or read book Representations of the Rotation and Lorentz Groups and Their Applications. (Predstavlenii︠a︡ Gruppy Vrashcheniĭ i Gruppy Lorent︠s︡a, Ikh Primenenii︠a︡ written by Izrailʹ Moiseevich Gelʹfand and published by . This book was released on 1963 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Representations of the Rotation and Lorentz Groups and Their Applications by : Izrail' M. Gel'fand
Download or read book Representations of the Rotation and Lorentz Groups and Their Applications written by Izrail' M. Gel'fand and published by . This book was released on 1963 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Representations of the Rotation and Lorentz Groups by : Moshe Carmeli
Download or read book Representations of the Rotation and Lorentz Groups written by Moshe Carmeli and published by . This book was released on 1976 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Representations of the rotation and Lorentz groups and their applications by : Izrail Moiseevich Gel Fand
Download or read book Representations of the rotation and Lorentz groups and their applications written by Izrail Moiseevich Gel Fand and published by . This book was released on 1963 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Group Theory and General Relativity by : Moshe Carmeli
Download or read book Group Theory and General Relativity written by Moshe Carmeli and published by World Scientific. This book was released on 2000 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the only book on the subject of group theory and Einstein's theory of gravitation. It contains an extensive discussion on general relativity from the viewpoint of group theory and gauge fields. It also puts together in one volume many scattered, original works, on the use of group theory in general relativity theory. There are twelve chapters in the book. The first six are devoted to rotation and Lorentz groups, and their representations. They include the spinor representation as well as the infinite-dimensional representations. The other six chapters deal with the application of groups -- particularly the Lorentz and the SL(2, C) groups -- to the theory of general relativity. Each chapter is concluded with a set of problems. The topics covered range from the fundamentals of general relativity theory, its formulation as an SL(2, C) gauge theory, to exact solutions of the Einstein gravitational field equations. The important Bondi-Metzner-Sachs group, and its representations, conclude the book The entire book is self-contained in both group theory and general relativity theory, and no prior knowledge of either is assumed. The subject of this book constitutes a relevant link between field theoreticians and general relativity theoreticians, who usually work rather independently of each other. The treatise is highly topical and of real interest to theoretical physicists, general relativists and applied mathematicians. It is invaluable to graduate students and research workers in quantum field theory, general relativity and elementary particle theory.
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.
Book Synopsis The Rotation and Lorentz Groups and Their Representations for Physicists by : K. N. Srinivasa Rao
Download or read book The Rotation and Lorentz Groups and Their Representations for Physicists written by K. N. Srinivasa Rao and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Representations of Rotation Lorentz Groups and Applications by : I. Gelfand
Download or read book Representations of Rotation Lorentz Groups and Applications written by I. Gelfand and published by Pergamon. This book was released on 1963 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Представления Группы Вращений И Группы Лоренца, Их Применения. Representations of the Rotation and Lorentz Groups and Their Applications. By I.M. Gel'fand, R.A. Minlos and Z. Ya. Shapiro. Translated by G. Cummins and T. Boddington, Etc by : Izrail' Moiseevich GEL'FAND
Download or read book Представления Группы Вращений И Группы Лоренца, Их Применения. Representations of the Rotation and Lorentz Groups and Their Applications. By I.M. Gel'fand, R.A. Minlos and Z. Ya. Shapiro. Translated by G. Cummins and T. Boddington, Etc written by Izrail' Moiseevich GEL'FAND and published by . This book was released on 1963 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Applications of Group Theory in Quantum Mechanics by : M. I. Petrashen
Download or read book Applications of Group Theory in Quantum Mechanics written by M. I. Petrashen and published by Courier Corporation. This book was released on 2013-01-03 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geared toward postgraduate students, theoretical physicists, and researchers, this advanced text explores the role of modern group-theoretical methods in quantum theory. The authors based their text on a physics course they taught at a prominent Soviet university. Readers will find it a lucid guide to group theory and matrix representations that develops concepts to the level required for applications. The text's main focus rests upon point and space groups, with applications to electronic and vibrational states. Additional topics include continuous rotation groups, permutation groups, and Lorentz groups. A number of problems involve studies of the symmetry properties of the Schroedinger wave function, as well as the explanation of "additional" degeneracy in the Coulomb field and certain subjects in solid-state physics. The text concludes with an instructive account of problems related to the conditions for relativistic invariance in quantum theory.
