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Symplectic fibrations and multiplicity diagrams

Auteur : Victor Guillemin; Eugene Lerman; Shlomo Sternberg
Éditeur: Cambridge ; New York : Cambridge University Press, 1996.
Édition/format:   Livre imprimé : AnglaisVoir toutes les éditions et tous les formats
Résumé:
"Multiplicity diagrams can be viewed as schemes for describing the phenomenon of "symmetry breaking" in quantum physics: Suppose the state space of a quantum mechanical system is a Hilbert space V, on which the symmetry group G of the system acts irreducibly. How does this Hilbert space break up when G gets replaced by a smaller symmetry group H? In the case where H is a maximal torus of a compact group a convenient
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Détails

Type d’ouvrage: Ressource Internet
Type de document: Livre, Ressource Internet
Tous les auteurs / collaborateurs: Victor Guillemin; Eugene Lerman; Shlomo Sternberg
ISBN: 0521443237 9780521443234
Numéro OCLC: 33333376
Description: xiv, 222 pages : illustrations ; 24 cm
Contenu: 1. Symplectic Fibrations --
2. Examples of Symplectic Fibrations: The Coadjoint Orbit Hierarchy --
3. Duistermaat-Heckman Polynomials --
4. Symplectic Fibrations and Multiplicity Diagrams --
5. Computations with Orbits --
App. A. Multiplicity Formulas --
App. B. Equivariant Cohomology --
App. C. Update.
Responsabilité: Victor Guillemin, Eugene Lerman, Shlomo Sternberg.
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Résumé:

Applications of the techniques of symplectic geometry to describe 'symmetry breaking' in quantum physics.  Lire la suite...

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'The authors take a novel approach, using the techniques of symplectic geometry. They develop in detail some themes that were touched on in Symplectic Techniques in Physics (Guillemin and Sternberg, Lire la suite...

 
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