Bücher online kaufen
Rotations, Quaternions, and Double Groups
Besorgungstitel - wird vorgemerkt | Lieferzeit: Besorgungstitel - Lieferbar innerhalb von 10 Werktagen I
Artikel-Nr:
9780486445182
Veröffentl:
2005
Erscheinungsdatum:
03.11.2005
Seiten:
352
Autor:
Simon L Altmann
Gewicht:
354 g
Format:
218x168x18 mm
Sprache:
Englisch
Beschreibung:
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.
0. Notation. Conventions. How to Use This Book1. 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
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