Simon L Altmann

Rotations, Quaternions, and Double Groups

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: Dover Publications
• Seitenzahl: 352
• Erscheinungstermin: 3. November 2005
• Englisch
• Abmessung: 218mm x 168mm x 18mm
• Gewicht: 354g
• ISBN-13: 9780486445182
• ISBN-10: 0486445186
• Artikelnr.: 22404442

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