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Problems & Solutions in Group Theory for Physicists by Zhong-Qi Ma,Xiao-Yan Gu Pdf
This book is aimed at graduate students and young researchers in physics who are studying group theory and its application to physics. It contains a short explanation of the fundamental knowledge and method, and the fundamental exercises for the method, as well as some important conclusions in group theory. This book is also suitable for some graduate students in theoretical chemistry.
This 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.
Problems and Solutions in Group Theory for Physicists by Zhong-Qi Ma,Xiao-Yan Gu Pdf
' This book is aimed at graduate students in physics who are studying group theory and its application to physics. It contains a short explanation of the fundamental knowledge and method, and the fundamental exercises for the method, as well as some important conclusions in group theory. The book can be used by graduate students and young researchers in physics, especially theoretical physics. It is also suitable for some graduate students in theoretical chemistry. Contents:Review on Linear AlgebrasGroup and Its SubsetsTheory of RepresentationsThree-Dimensional Rotation GroupSymmetry of CrystalsPermutation GroupsLie Groups and Lie AlgebrasUnitary GroupsReal Orthogonal GroupsThe Symplectic Groups Keywords:Group Theory;Problems and Solutions;Exercises;Theory of Angular Momentum;Finite Group;Symmetry Group of Polyhedron;Space Groups;Permutation Group;Young Operator;Lie Group;Lie AlgebraReviews:“The authors present an interesting book explaining group theory in terms of physics, closing an often observed gap in the literature between abstract mathematical theory and physical applications … It is self-contained as much as is possible. Many examples and exercises, including solutions, allow the reader to become more familiar with the subject.”Mathematical Reviews '
This 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.
Newer Edition Available: Group Theory for Physicists (2nd Edition)This textbook explains the fundamental concepts and techniques of group theory by making use of language familiar to physicists. Application methods to physics are emphasized. New materials drawn from the teaching and research experience of the author are included. This book can be used by graduate students and young researchers in physics, especially theoretical physics. It is also suitable for some graduate students in theoretical chemistry.
Group Theory in Physics: Basic Group Theory; Chapter 3 Group Representations; Chapter 4 General Properties of Irreducible Vectors and Operators; Chapter 5 Representations of the Symmetric Groups; Chapter 6 One-Dimensional Continuous Groups; Chapter 7 Rotations in 3-Dimensional Space -The Group SO(3); Chapter 8 The Group SU(2) and More About SO(3); Chapter 9 Euclidean Groups in Two- and Three-Dimensional Space; Chapter 10 The Lorentz and Poincaré Groups, and Space-Time Symmetries; Chapter 11 Space Inversion Invariance; Chapter 12 Time Reversal Invariance by Anonim Pdf
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.
Group Theory and Its Application to Physical Problems by Morton Hamermesh Pdf
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 for High Energy Physicists by Mohammad Saleem,Muhammad Rafique Pdf
Although group theory has played a significant role in the development of various disciplines of physics, there are few recent books that start from the beginning and then build on to consider applications of group theory from the point of view of high energy physicists. Group Theory for High Energy Physicists fills that role. It presents groups, e
Group Theory in a Nutshell for Physicists by A. Zee Pdf
A concise, modern textbook on group theory written especially for physicists Although group theory is a mathematical subject, it is indispensable to many areas of modern theoretical physics, from atomic physics to condensed matter physics, particle physics to string theory. In particular, it is essential for an understanding of the fundamental forces. Yet until now, what has been missing is a modern, accessible, and self-contained textbook on the subject written especially for physicists. Group Theory in a Nutshell for Physicists fills this gap, providing a user-friendly and classroom-tested text that focuses on those aspects of group theory physicists most need to know. From the basic intuitive notion of a group, A. Zee takes readers all the way up to how theories based on gauge groups could unify three of the four fundamental forces. He also includes a concise review of the linear algebra needed for group theory, making the book ideal for self-study. Provides physicists with a modern and accessible introduction to group theory Covers applications to various areas of physics, including field theory, particle physics, relativity, and much more Topics include finite group and character tables; real, pseudoreal, and complex representations; Weyl, Dirac, and Majorana equations; the expanding universe and group theory; grand unification; and much more The essential textbook for students and an invaluable resource for researchers Features a brief, self-contained treatment of linear algebra An online illustration package is available to professors Solutions manual (available only to professors)
Group Representation Theory for Physicists by Jin-Quan Chen,Jialun Ping,Fan Wang Pdf
This book introduces systematically the eigenfunction method, a new approach to the group representation theory which was developed by the authors in the 1970's and 1980's in accordance with the concept and method used in quantum mechanics. It covers the applications of the group theory in various branches of physics and quantum chemistry, especially nuclear and molecular physics. Extensive tables and computational methods are presented. Group Representation Theory for Physicists may serve as a handbook for researchers doing group theory calculations. It is also a good reference book and textbook for undergraduate and graduate students who intend to use group theory in their future research careers.
Group Theory in Solid State Physics and Photonics by Wolfram Hergert,R. Matthias Geilhufe Pdf
While group theory and its application to solid state physics is well established, this textbook raises two completely new aspects. First, it provides a better understanding by focusing on problem solving and making extensive use of Mathematica tools to visualize the concepts. Second, it offers a new tool for the photonics community by transferring the concepts of group theory and its application to photonic crystals. Clearly divided into three parts, the first provides the basics of group theory. Even at this stage, the authors go beyond the widely used standard examples to show the broad field of applications. Part II is devoted to applications in condensed matter physics, i.e. the electronic structure of materials. Combining the application of the computer algebra system Mathematica with pen and paper derivations leads to a better and faster understanding. The exhaustive discussion shows that the basics of group theory can also be applied to a totally different field, as seen in Part III. Here, photonic applications are discussed in parallel to the electronic case, with the focus on photonic crystals in two and three dimensions, as well as being partially expanded to other problems in the field of photonics. The authors have developed Mathematica package GTPack which is available for download from the book's homepage. Analytic considerations, numerical calculations and visualization are carried out using the same software. While the use of the Mathematica tools are demonstrated on elementary examples, they can equally be applied to more complicated tasks resulting from the reader's own research.
265 challenging problems in all phases of group theory, gathered for the most part from papers published since 1950, although some classics are included.
This textbook explains the fundamental concepts and techniques of group theory by making use of language familiar to physicists. Application methods to physics are emphasized. New materials drawn from the teaching and research experience of the author are included. This book can be used by graduate students and young researchers in physics, especially theoretical physics. It is also suitable for some graduate students in theoretical chemistry.
