Hamiltonian Mechanical Systems and Geometric Quantization, 1

Name: Hamiltonian Mechanical Systems and Geometric Quantization, 1
Brand: Springer Netherlands
SKU: 9789401048804
Price: 21836 HUF
Availability: InStock

Szerző: Mircea Puta

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer Netherlands

Elérhetőség: Beszállítói készleten

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

Információk a könyvről

Szerző

Mircea Puta

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2012

oldal

280

EAN

9789401048804

ISBN

9401048800

Enbook ID

02260815

Kiadó

Springer Netherlands

Súly

470

Méretek

160 x 240 x 16

Teljes leírás

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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Hamiltonian Mechanical Systems and Geometric Quantization, 1

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