ENGLISH

Lectures on the geometry of quantization

By Alan Weinstein , Sean Bates

Book information

Publisher
American Mathematical Society
Year
1997
ISBN
0821807986, 9780821807989
ASIN
B0006QBCFA
Open Library ID
OL11419640M
Language
english
Format
PDF
Filesize
861 kB (881998 bytes)
Series
Berkeley Mathematical Lecture Notes ; Vol 8 BMLN/8
Pages
140\140
Library
Kolxo3
Time added
2009-12-04 00:34:26

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