**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

**Differential Geometry in Physics**

by

**Gabriel Lugo**-

**University of North Carolina at Wilmington**

These notes were developed as a supplement to a course on Differential Geometry at the advanced undergraduate level, which the author has taught. This texts has an early introduction to differential forms and their applications to Physics.

(

**13516**views)

**Lectures on Calabi-Yau and Special Lagrangian Geometry**

by

**Dominic Joyce**-

**arXiv**

An introduction to Calabi-Yau manifolds and special Lagrangian submanifolds from the differential geometric point of view, followed by recent results on singularities of special Lagrangian submanifolds, and their application to the SYZ Conjecture.

(

**8416**views)

**Geometry and Group Theory**

by

**Christopher Pope**-

**Texas A&M University**

Lecture notes on Geometry and Group Theory. In this course, we develop the basic notions of Manifolds and Geometry, with applications in physics, and also we develop the basic notions of the theory of Lie Groups, and their applications in physics.

(

**13638**views)

**Geometry and Topology in Electronic Structure Theory**

by

**Raffaele Resta**-

**University of Trieste**

From the table of contents: Introduction; Early discoveries; Berry-ology (geometry in nonrelativistic quantum mechanics); Manifestations of the Berry phase; Modern theory of polarization; Quantum metric and the theory of the insulating state.

(

**6058**views)