Rotations, Quaternions, and Double Groups
Author:   Simon L Altmann
Publisher:   Dover Publications Inc.
ISBN:  

9780486445182


Pages:   336
Publication Date:   25 November 2005
Format:   Paperback
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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Rotations, Quaternions, and Double Groups


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Overview

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.

Full Product Details

Author:   Simon L Altmann
Publisher:   Dover Publications Inc.
Imprint:   Dover Publications Inc.
Dimensions:   Width: 13.60cm , Height: 1.80cm , Length: 21.50cm
Weight:   0.366kg
ISBN:  

9780486445182


ISBN 10:   0486445186
Pages:   336
Publication Date:   25 November 2005
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   No Longer Our Product
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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

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