Hamiltonian Mechanical Systems and Geometric Quantization is popular PDF and ePub book, written by Mircea Puta in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Hamiltonian Mechanical Systems and Geometric Quantization can be Read Online from any device for your convenience.
Hamiltonian Mechanical Systems and Geometric Quantization Book PDF Summary
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.
Detail Book of Hamiltonian Mechanical Systems and Geometric Quantization PDF
- Author : Mircea Puta
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9789401119924
- Genre : Mathematics
- Total Page : 289 pages
- Language : English
- PDF File Size : 21,9 Mb
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