Rotations, Quaternions, And Double Groups - Brossura

Altmann, Simon L.

Brossura

ISBN 10: 0486445186 ISBN 13: 9780486445182

Casa editrice: Dover Pubns, 2005

Riassunto

This self-contained text presents a consistent description of the geometric and quaternionic treatment of rotation operators, employing methods that lead to a rigorous formulation and offering complete solutions to many illustrative problems.
Geared toward upper-level undergraduates and graduate students, the book begins with chapters covering the fundamentals of symmetries, matrices, and groups, and it presents a primer on rotations and rotation matrices. Subsequent chapters explore rotations and angular momentum, tensor bases, the bilinear transformation, projective representations, and the geometry, topology, and algebra of rotations. Some familiarity with the basics of group theory is assumed, but the text assists students in developing the requisite mathematical tools as necessary.

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Contenuti

0. Notation. Conventions. How to Use This Book 1. Introduction 2. All You Need to Know about Symmetries, Matrices, and Groups 3. A Primer on Rotations and Rotation Matrices 4. Rotations and Angular Momentum 5. Tensor Bases: Introduction to Spinors 6. The Bilinear Transformation 7. Rotations and SU(2). The Stereographic Projection 8. Projective Representations 9. The Geometry of Rotations 10. The Topology of Rotations 11. The Spinor Representations 12. The Algebra of Rotations: Quaternions 13. Double Groups 14. The Irreducible Representations of SO(3) 15. Examples and Applications 16. Solutions to Problems References Index

Product Description

This text presents a consistent description of the geometric and quaternionic treatment of rotation operators. Covers the fundamentals of symmetries, matrices, and groups and presents a primer on rotations and rotation matrices. Also explores rotations and angular momentum, tensor bases, the bilinear transformation, projective representations, more. Includes problems with solutions.

Dettagli dell?edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2005
• ISBN 10: 0486445186
• ISBN 13: 9780486445182
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 317
• Contatto del produttore: non disponibile