| Symplectic Fibrations and Multiplicity Diagrams Contributor(s): Guillemin, Victor (Author), Lerman, Eugene (Author), Sternberg, Shlomo (Author) |
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ISBN: 0521111862 ISBN-13: 9780521111867 Publisher: Cambridge University Press OUR PRICE: $49.39 Product Type: Paperback - Other Formats Published: June 2009 Annotation: Applications of the techniques of symplectic geometry to describe 'symmetry breaking' in quantum physics. |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - General - Science | Physics - Quantum Theory - Mathematics | Topology - General |
| Dewey: 530.120 |
| Physical Information: 0.55" H x 6" W x 9" (0.79 lbs) 240 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Multiplicity diagrams can be viewed as schemes for describing the phenomenon of symmetry breaking in quantum physics. The subject of this book is the multiplicity diagrams associated with the classical groups U(n), O(n), etc. It presents such topics as asymptotic distributions of multiplicities, hierarchical patterns in multiplicity diagrams, lacunae, and the multiplicity diagrams of the rank 2 and rank 3 groups. The authors take a novel approach, using the techniques of symplectic geometry. The book develops in detail some themes which were touched on in the highly successful Symplectic Techniques in Physics by V. Guillemin and S. Sternberg (CUP, 1984), including the geometry of the moment map, the Duistermaat-Heckman theorem, the interplay between coadjoint orbits and representation theory, and quantization. Students and researchers in geometry and mathematical physics will find this book fascinating. |