Lectures on the Geometry of Quantization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on the Geometry of Quantization write by Sean Bates. This book was released on 1997. Lectures on the Geometry of Quantization available in PDF, EPUB and Kindle. These notes are based on a course entitled ``Symplectic Geometry and Geometric Quantization'' taught by Alan Weinstein at the University of California, Berkeley (fall 1992) and at the Centre Emile Borel (spring 1994). The only prerequisite for the course needed is a knowledge of the basic notions from the theory of differentiable manifolds (differential forms, vector fields, transversality, etc.). The aim is to give students an introduction to the ideas of microlocal analysis and the related symplectic geometry, with an emphasis on the role these ideas play in formalizing the transition between the mathematics of classical dynamics (hamiltonian flows on symplectic manifolds) and quantum mechanics (unitary flows on Hilbert spaces). These notes are meant to function as a guide to the literature. The authors refer to other sources for many details that are omitted and can be bypassed on a first reading.
Lectures on Geometric Quantization
Lectures on Geometric Quantization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on Geometric Quantization write by D. J. Simms. This book was released on 2014-01-15. Lectures on Geometric Quantization available in PDF, EPUB and Kindle.
Lectures on Geometric Quantization
Lectures on Geometric Quantization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on Geometric Quantization write by David John Simms. This book was released on 1976. Lectures on Geometric Quantization available in PDF, EPUB and Kindle.
Lectures on Symplectic Geometry
Lectures on Symplectic Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on Symplectic Geometry write by Ana Cannas da Silva. This book was released on 2004-10-27. Lectures on Symplectic Geometry available in PDF, EPUB and Kindle. The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moment maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding. There are by now excellent references on symplectic geometry, a subset of which is in the bibliography of this book. However, the most efficient introduction to a subject is often a short elementary treatment, and these notes attempt to serve that purpose. This text provides a taste of areas of current research and will prepare the reader to explore recent papers and extensive books on symplectic geometry where the pace is much faster. For this reprint numerous corrections and clarifications have been made, and the layout has been improved.
Geometric Quantization
Geometric Quantization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Quantization write by Nicholas Michael John Woodhouse. This book was released on 1992. Geometric Quantization available in PDF, EPUB and Kindle. The geometric approach to quantization was introduced by Konstant and Souriau more than 20 years ago. It has given valuable and lasting insights into the relationship between classical and quantum systems, and continues to be a popular research topic. The ideas have proved useful in pure mathematics, notably in representation theory, as well as in theoretical physics. The most recent applications have been in conformal field theory and in the Jones-Witten theory of knots. The successful original edition of this book was published in 1980. Now it has been completely revised and extensively rewritten. The presentation has been simplified and many new examples have been added. The material on field theory has been expanded.
