Title
The Theory Of Groups And Quantum Mechanics (Dover Books On Mathematics),New
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This Book Is Devoted To The Consistent And Systematic Application Of Group Theory To Quantum Mechanics. Beginning With A Detailed Introduction To The Classical Theory Of Groups, Dr. Weyl Continues With An Account Of The Fundamental Results Of Quantum Physics. There Follows A Rigorous Investigation Of The Relations Holding Between The Mathematical And Physical Theories.Topics Covered Include: Unitary Geometry, Quantum Theory (Schrdinger'S Wave Equation, Transition Probabilities, Directional Quantization, Collision Phenomena, Zeeman And Stark Effects); Groups And Their Representations (Subgroups And Conjugate Classes, Linear Transformations, Rotation And Lorentz Groups, Closed Continuous Groups, Invariants And Covariants, Lie'S Theory); Applications Of Group Theory To Quantum Mechanics (Simple State And Term Analysis, The Spinning Electron, Multiplet Structure, Energy And Momentum, Pauli Exclusion Principle, Problem Of Several Bodies, Maxwelldirac Field Equations, Etc.); The Symmetric Permutation Group; And Algebra Of Symmetric Transformation (Invariant Subspaces In Group And Tensor Space, Subgroups, Young'S Symmetry Operators, Spin And Valence, Group Theoretic Classification Of Atomic Spectra, Branching Laws, Etc).Throughout, Dr. Weyl Emphasizes The 'Reciprocity' Between Representations Of The Symmetric Permutation Group And Those Of The Complete Linear Group. His Simplified Treatment Of 'Reciprocity,' The Clebschgordan Series, And The Jordanhlder Theorem And Its Analogues, Has Helped To Clarity These And Other Complex Topics.
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- Q: How many pages does the book have? A: The book has four hundred sixty-four pages. It offers a comprehensive exploration of group theory and its applications in quantum mechanics.
- Q: What is the binding type of this book? A: The book is paperback bound. This makes it flexible and lightweight, suitable for easy reading and transport.
- Q: What are the dimensions of the book? A: The book measures five point thirty-nine inches in length, zero point ninety-one inches in width, and eight point five inches in height. These dimensions make it a convenient size for reading.
- Q: Who is the author of this book? A: The author of the book is Hermann Weyl. He is well-known for his contributions to mathematics and theoretical physics.
- Q: What topics does the book cover? A: The book covers topics such as unitary geometry and quantum theory. It also delves into group theory applications in quantum mechanics.
- Q: Is this book suitable for beginners in mathematics? A: Yes, the book is suitable for beginners with a keen interest in mathematics. It begins with a detailed introduction to classical group theory.
- Q: Can advanced readers benefit from this book? A: Yes, advanced readers can benefit from this book. It provides rigorous investigations and insights into complex topics like Lie's theory and the Jordan-Hölder theorem.
- Q: What is the primary focus of the book? A: The primary focus of the book is the systematic application of group theory to quantum mechanics. It emphasizes the connections between mathematical and physical theories.
- Q: Does the book include practical applications of group theory? A: Yes, the book includes practical applications of group theory in quantum mechanics. It addresses topics such as the Pauli exclusion principle and energy-momentum relations.
- Q: Are there any notable mathematical concepts discussed in the book? A: Yes, notable concepts include the Clebsch-Gordan series and the algebra of symmetric transformations. These concepts are essential for understanding group theory.
- Q: How is the book organized? A: The book is organized into sections that progressively build on concepts. It starts with classical group theory and moves to advanced applications in quantum mechanics.
- Q: Is this book suitable for self-study? A: Yes, this book is suitable for self-study. Its structured approach and clear explanations make it ideal for independent learners.
- Q: What is the target audience for this book? A: The target audience includes students and professionals in mathematics and physics. It is also suitable for anyone interested in group theory.
- Q: Does the book provide historical context for the theories discussed? A: Yes, the book provides historical context for the theories discussed. It includes insights into the development of group theory and its impact on quantum mechanics.
- Q: Are there exercises or problems included in the book? A: No, the book does not include exercises or problems. It primarily focuses on theoretical discussions and applications of group theory.