Lectures on the Geometry of Quantization
by Sean Bates, Alan Weinstein
Publisher: University of California at Berkeley 1997
ISBN/ASIN: 0821807986
ISBN-13: 9780821807989
Number of pages: 134
Description:
This is an introduction to the ideas of microlocal analysis and the related symplectic geometry, with an emphasis on the role which these ideas play in formalizing the transition between the mathematics of classical dynamics (hamiltonian flows on symplectic manifolds) and that of quantum mechanics (unitary flows on Hilbert spaces).
Download or read it online for free here:
Download link
(720KB, PDF)
Similar books
First Steps Towards a Symplectic Dynamicsby Barney Bramham, Helmut Hofer - arXiv
Both dynamical systems and symplectic geometry have rich theories and the time seems ripe to develop the common core with integrated ideas from both fields. We discuss problems which show how dynamical systems and symplectic ideas come together.
(12111 views)
Introduction to Braided Geometry and q-Minkowski Spaceby Shahn Majid - arXiv
Systematic introduction to the geometry of linear braided spaces. These are versions of Rn in which the coordinates xi have braid-statistics described by an R-matrix. From this starting point we survey the author's braided-approach to q-deformation.
(9577 views)
Noncommutative Geometryby Alain Connes - Academic Press
The definitive treatment of the revolutionary approach to measure theory, geometry, and mathematical physics. Ideal for anyone who wants to know what noncommutative geometry is, what it can do, or how it can be used in various areas of mathematics.
(14273 views)
Lectures on complex geometry, Calabi-Yau manifolds and toric geometryby Vincent Bouchard - arXiv
These are introductory lecture notes on complex geometry, Calabi-Yau manifolds and toric geometry. We first define basic concepts of complex and Kahler geometry. We then proceed with an analysis of various definitions of Calabi-Yau manifolds.
(9660 views)