Applications Of Group Theory In Physics And Mathematical Physics
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Applications Of Group Theory In Physics And Mathematical Physics
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Author : Mosh Flato
language : en
Publisher: American Mathematical Soc.
Release Date : 1985-12-31
Applications Of Group Theory In Physics And Mathematical Physics written by Mosh Flato and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-12-31 with Science categories.
The past decade has seen a renewal in the close ties between mathematics and physics. The Chicago Summer Seminar on Applications of Group Theory in Physics and Mathematical Physics, held in July, 1982, was organized to bring together a broad spectrum of scientists from theoretical physics, mathematical physics, and various branches of pure and applied mathematics in order to promote interaction and an exchange of ideas and results in areas of common interest. This volume contains the papers submitted by speakers at the Seminar. The reader will find several groups of articles varying from the most abstract aspects of mathematics to a concrete phenomenological description of some models applicable to particle physics. The papers have been divided into four categories corresponding to the principal topics covered at the Seminar. This is only a rough division, and some papers overlap two or more of these categories.
Group Theory And Physics
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Author : Shlomo Sternberg
language : en
Publisher: Cambridge University Press
Release Date : 1995-09-07
Group Theory And Physics written by Shlomo Sternberg and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09-07 with Mathematics categories.
This textbook, based on courses taught at Harvard University, is an introduction to group theory and its application to physics. The physical applications are considered as the mathematical theory is developed so that the presentation is unusually cohesive and well-motivated. Many modern topics are dealt with, and there is much discussion of the group SU(n) and its representations. This is of great significance in elementary particle physics. Applications to solid state physics are also considered. This stimulating account will prove to be an essential resource for senior undergraduate students and their teachers.
Group Theory And Its Application To Physical Problems
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Author : Morton Hamermesh
language : en
Publisher: Courier Corporation
Release Date : 2012-04-26
Group Theory And Its Application To Physical Problems written by Morton Hamermesh and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-26 with Science categories.
One of the best-written, most skillful expositions of group theory and its physical applications, directed primarily to advanced undergraduate and graduate students in physics, especially quantum physics. With problems.
Group Theory In Physics A Practitioner S Guide
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Author : R Campoamor Strursberg
language : en
Publisher: World Scientific
Release Date : 2018-09-19
Group Theory In Physics A Practitioner S Guide written by R Campoamor Strursberg and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-19 with Science categories.
'The book contains a lot of examples, a lot of non-standard material which is not included in many other books. At the same time the authors manage to avoid numerous cumbersome calculations … It is a great achievement that the authors found a balance.'zbMATHThis 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.
Symmetry
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Author : R. McWeeny
language : en
Publisher: Courier Corporation
Release Date : 2002-01-01
Symmetry written by R. McWeeny and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-01 with Science categories.
This well-organized volume develops the elementary ideas of both group theory and representation theory in a progressive and thorough fashion. Designed to allow students to focus on any of the main fields of application, it is geared toward advanced undergraduate and graduate physics and chemistry students. 1963 edition. Appendices.
Group Theory In Physics
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Author : John F. Cornwell
language : en
Publisher: Academic Press
Release Date : 1997-07-11
Group Theory In Physics written by John F. Cornwell and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-07-11 with Science categories.
This book, an abridgment of Volumes I and II of the highly respected Group Theory in Physics, presents a carefully constructed introduction to group theory and its applications in physics. The book provides anintroduction to and description of the most important basic ideas and the role that they play in physical problems. The clearly written text contains many pertinent examples that illustrate the topics, even for those with no background in group theory.This work presents important mathematical developments to theoretical physicists in a form that is easy to comprehend and appreciate. Finite groups, Lie groups, Lie algebras, semi-simple Lie algebras, crystallographic point groups and crystallographic space groups, electronic energy bands in solids, atomic physics, symmetry schemes for fundamental particles, and quantum mechanics are all covered in this compact new edition. - Covers both group theory and the theory of Lie algebras - Includes studies of solid state physics, atomic physics, and fundamental particle physics - Contains a comprehensive index - Provides extensive examples
The Application Of Group Theory In Physics
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Author : Grigoriĭ I︠A︡kovlevich Li︠u︡barskiĭ
language : en
Publisher: Reader's Digest Young Families
Release Date : 1960
The Application Of Group Theory In Physics written by Grigoriĭ I︠A︡kovlevich Li︠u︡barskiĭ and has been published by Reader's Digest Young Families this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Mathematics categories.
Elements of the theory of groups -- Some specific groups -- The theory of group representations -- Operations with group representations -- Representations of certain groups -- Small oscillations of symmetrical systems -- Second order phase transitions -- Crystals -- Infinite groups -- Representations of the rotation groups in two and three dimensions and of the full orthogonal group -- Clebsch-Gordon and Racah coefficients -- The Schrödinger equation -- Equations invariant under the Euclidean group of motions in space -- Absorption and Raman scattering of light -- Representations of the Lorentz group -- Relativistically invariant equations -- Nuclear reactions.
Mathematical Physics
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Author : Sadri Hassani
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-27
Mathematical Physics written by Sadri Hassani and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-27 with Science categories.
The goal of this book is to expose the reader to the indispensable role that mathematics plays in modern physics. Starting with the notion of vector spaces, the first half of the book develops topics as diverse as algebras, classical orthogonal polynomials, Fourier analysis, complex analysis, differential and integral equations, operator theory, and multi-dimensional Green's functions. The second half of the book introduces groups, manifolds, Lie groups and their representations, Clifford algebras and their representations, and fibre bundles and their applications to differential geometry and gauge theories. This second edition is a substantial revision with a complete rewriting of many chapters and the addition of new ones, including chapters on algebras, representation of Clifford algebras, fibre bundles, and gauge theories. The spirit of the first edition, namely the balance between rigour and physical application, has been maintained, as is the abundance of historical notes and worked out examples that demonstrate the "unreasonable effectiveness of mathematics" in modern physics.
Adventures In Mathematical Physics
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-07-13
Adventures In Mathematical Physics written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-13 with Science categories.
Embark on an extraordinary voyage through the captivating realm of mathematical physics, where the elegance of mathematics meets the wonders of the physical world. Discover the profound connections between abstract concepts and tangible realities, unveiling the symphony of the universe. Immerse yourself in the language of vectors, the mathematical ballet of motion and forces, guiding you through the intricacies of physical interactions. Decipher the calculus, the calculus that reveals the continuous flow of change, unraveling the dynamic tapestry of our universe. Encounter differential equations, the gatekeepers of complex systems, unlocking the secrets of motion and equilibrium. Venture into the realm of complex numbers, venturing beyond the familiar boundaries of real numbers, embracing a world where imaginary dimensions unlock new perspectives. Witness the elegance of mathematical expressions, the concise language that encapsulates the essence of physical laws. Unravel the intricate dance of kinematics and dynamics, where objects pirouette through space and time, governed by the majestic laws of motion. Explore the interplay of forces, the interplay of energies, the interplay of momenta, and the drama of collisions, revealing the underlying choreography of the universe. Brace yourself for the cosmic ballet of gravitation, where planets waltz around stars, galaxies swirl in grandeur, and the fabric of spacetime bends to the rhythm of gravity's embrace. Decipher Kepler's celestial symphony, the harmonious dance of planets, and delve into Einstein's revolutionary vision, where gravity warps the very fabric of reality. This comprehensive guide, meticulously crafted for an American audience, takes you on an intellectual odyssey through the captivating world of mathematical physics. With engaging prose and illuminating explanations, it demystifies complex concepts, making them accessible to readers of all backgrounds. Prepare to be captivated by the beauty and power of mathematics as it unveils the profound workings of our universe. If you like this book, write a review!
Group Theory In Physics
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Author : Wu-Ki Tung
language : en
Publisher: World Scientific
Release Date : 1985
Group Theory In Physics written by Wu-Ki Tung and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Science categories.
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.