Rotations, Quaternions, And Double Groups

Klappentext 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. Inhaltsverzeichnis 0. Notation. Conventions. How to Use This Book1. Introduction2. All You Need to Know about Symmetries, Matrices, and Groups3. A Primer on Rotations and Rotation Matrices4. Rotations and Angular Momentum5. Tensor Bases: Introduction to Spinors6. The Bilinear Transformation7. Rotations and SU(2). The Stereographic Projection8. Projective Representations9. The Geometry of Rotations10. The Topology of Rotations11. The Spinor Representations12. The Algebra of Rotations: Quaternions13. Double Groups14. The Irreducible Representations of SO(3)15. Examples and Applications16. Solutions to ProblemsReferencesIndex

Product details

• Authors: Simon L Altmann, Simon L. Altmann
• Publisher: Dover Publications Inc.
• Languages: English
• Product format: Paperback / Softback
• Released: 03.11.2005
• EAN: 9780486445182
• ISBN: 978-0-486-44518-2
• No. of pages: 336
• Dimensions: 139 mm x 215 mm x 15 mm
• Series: Dover Books on Mathematics; Dover Books on Mathematics
• Subject: Natural sciences, medicine, IT, technology > Physics, astronomy > Theoretical physics