Hamiltonian Mechanical Systems and Geometric Quantization

Name: Hamiltonian Mechanical Systems and Geometric Quantization
Brand: Springer Netherlands
SKU: 9780792323068
Price: 275.89 RON
Availability: InStock

Autor: M. Puta

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Legare: Copertă tare

Editura: Springer Netherlands

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275.89 lei

This volume presents various aspects of the geometry of symplectic and Poisson manifolds, and applic...

Informații despre carte

Autor

M. Puta

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

1993

Pagini

280

EAN

9780792323068

ISBN

0792323068

Enbook ID

01394075

Editura

Springer Netherlands

Greutate

590

Dimensiuni

160 x 240 x 17

Descriere completă

This volume presents various aspects of the geometry of symplectic and Poisson manifolds, and applications in Hamiltonian mechanics and geometric quantization are indicated. Chapter 1 presents some general facts about symplectic vector space, symplectic manifolds and symplectic reduction. Chapter 2 deals with the study of Hamiltonian mechanics. Chapter 3 considers some standard facts concerning Lie groups and algebras which lead to the theory of momentum mappings and the Marsden--Weinstein reduction. Chapters 4 and 5 consider the theory and the stability of equilibrium solutions of Hamilton--Poisson mechanical systems. Chapters 6 and 7 are devoted to the theory of geometric quantization. This leads, in Chapter 8, to topics such as foliated cohomology, the theory of the Dolbeault--Kostant complex, and their applications. A discussion of the relation between geometric quantization and the Marsden--Weinstein reduction is presented in Chapter 9. The final chapter considers extending the theory of geometric quantization to Poisson manifolds, via the theory of symplectic groupoids. Each chapter concludes with problems and solutions, many of which present significant applications and, in some cases, major theorems. For graduate students and researchers whose interests and work involve symplectic geometry and Hamiltonian mechanics.

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