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Group Theory In Physicsby W K Tung
World Scientific 1985; US$ 75.40An 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. more...
Group Theory In Physicsby M Aivazis
World Scientific 1991; US$ 19.50This solutions booklet is a supplement to the text book Group Theory in Physics by Wu-Ki Tung. It will be useful to lecturers and students taking the subject as detailed solutions are given. Contents: Basic Group Theory; Group Representations; General Properties of Irreducible Vectors and Operators; Representations of the Symmetric Groups; One-Dimensional Continuous Groups; Rotations in 3-Dimensional Space ? The Group SO(3); The Group SU(2) and More About SO(3); Euclidean Groups in Two- and Three-Dimensional Space; The Lorentz and Poincaré ?roups, and Space-Time Symmetries; Space Inversion Invariance; Time Reversal Invariance; Finite-Dimesional Representations of the Classical Groups. Readership: Graduate and advanced undergraduate students... more...
Floer Homology Groups in Yang-Mills Theoryby S. K. Donaldson; M. Furuta; D. Kotschick; B. Bollobas; W. Fulton; A. Katok; F. Kirwan; P. Sarnak
Cambridge University Press 2002; US$ 104.00The seminal work of Floer has now been placed in a contemporary setting. The author of this monograph writes with the big picture constantly in mind, reviewing current knowledge and predicting future directions. This forms part of the work for which Simon Donaldson was awarded the prestigious Fields Medal. more...
50 Years Of Yang-mills Theoryby Gerardus 't Hooft
World Scientific 2005; US$ 109.00On the 50th anniversary of Yang?Mills theory, this invaluable volume looks back at the developments and achievements in elementary particle physics that ensued from that beautiful idea. During the last five decades, Yang-Mills theory, which is undeniably the most important cornerstone of theoretical physics, has expanded widely. It has been investigated from many 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. An international... more...
The Dynamical Yang-Baxter Equation, Representation Theory, and Quantum Integrable Systemsby Pavel Etingof; Frederic Latour
Oxford University Press, UK 2005; US$ 115.00The text is based on an established graduate course given at MIT that provides an introduction to the theory of the dynamical Yang-Baxter equation and its applications, which is an important area in representation theory and quantum groups. The book, which contains many detailed proofs and explicit calculations, will be accessible to graduate students of mathematics, who are familiar with the basics of representation theory of semisimple Lie algebras. - ;The text is based on an established graduate course given at MIT that provides an introduction to the theory of the dynamical Yang-Baxter equation and its applications, which is an important area in representation theory and quantum groups. The book, which contains many detailed proofs and... more...
Quantum Invariants of Knots and 3-Manifoldsby V G Turaev
Walter de Gruyter, Inc. 2010; US$ 186.00This monograph, now in its second revised edition, provides a systematic treatment of topological quantum field theories in three dimensions, inspired by the discovery of the Jones polynomial of knots, the Witten-Chern-Simons field theory, and the theory of quantum groups. The author, one of the leading experts in the subject, gives a rigorous and self-contained exposition of fundamental algebraic and topological concepts that emerged in this theory. more...
Foundations of Quantum Group Theoryby Shahn Majid
Cambridge University Press 1995; US$ 70.00A graduate level text which systematically lays out the foundations of Quantum Groups. more...
Symplectic Fibrations and Multiplicity Diagramsby Victor Guillemin; Eugene Lerman; Shlomo Sternberg
Cambridge University Press 1996; US$ 42.00Applications of the techniques of symplectic geometry to describe 'symmetry breaking' in quantum physics. more...
A Quantum Groups Primerby Shahn Majid
Cambridge University Press 2002; US$ 54.00Self-contained introduction to quantum groups as algebraic objects, suitable as a textbook for graduate courses. more...
On Gauge Fixing Aspects of the Infrared Behavior of Yang-Mills Green Functionsby Markus Q. Huber
Springer 2012; US$ 129.00Quarks are the main constituents of protons and neutrons and hence are important building blocks of all the matter that surrounds us. However, quarks have the intriguing property that they never appear as isolated single particles but only in bound states. This phenomenon is called confinement and has been a central research topic of elementary particle physics for the last few decades. In order to find the mechanism that forbids the existence of free quarks many approaches and ideas are being followed, but by now it has become clear that they are not mutually exclusive but illuminate the problem from different perspectives. Two such confinement scenarios are investigated in this thesis: Firstly, the importance of Abelian field components for... more...
