Simon L. Altmann

Rotations, Quaternions, and Double Groups (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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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Produktdetails

• Verlag: Guilford Publications
• Seitenzahl: 336
• Erscheinungstermin: 9. April 2013
• Englisch
• ISBN-13: 9780486317731
• Artikelnr.: 39866565

Inhaltsangabe

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