Lectures on the Geometry of Quantization
Book information
Description
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.
Similar books
Lectures on the geometry of quantization
1997 · PDF
Lectures on the geometry of quantization
1997 · PDF
Lectures on Symplectic Manifolds
1977 · PDF
Healthy Culture, Healthy Business: Twenty-One Ways to Build a Culture for Success
MOBI
Calculus 3
1985 · PDF
Floer Memorial Volume
1995 · DJVU
Calculus II
1985 · DJVU
Geometry of the Laplace Operator
1980 · DJVU