Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Lectures on the Geometry of Quantization
 
Sean Bates Columbia University, New York, NY
Alan Weinstein University of California, Berkeley, Berkeley, CA
A co-publication of the AMS and Center for Pure and Applied Mathematics at the University of California, Berkeley
Lectures on the Geometry of Quantization
Softcover ISBN:  978-0-8218-0798-9
Product Code:  BMLN/8
List Price: $35.00
MAA Member Price: $31.50
AMS Member Price: $28.00
Lectures on the Geometry of Quantization
Click above image for expanded view
Lectures on the Geometry of Quantization
Sean Bates Columbia University, New York, NY
Alan Weinstein University of California, Berkeley, Berkeley, CA
A co-publication of the AMS and Center for Pure and Applied Mathematics at the University of California, Berkeley
Softcover ISBN:  978-0-8218-0798-9
Product Code:  BMLN/8
List Price: $35.00
MAA Member Price: $31.50
AMS Member Price: $28.00
  • Book Details
     
     
    Berkeley Mathematics Lecture Notes
    Volume: 81997; 137 pp
    MSC: Primary 58; Secondary 70; 81;

    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.

    This series is jointly published between the AMS and the Center for Pure and Applied Mathematics at the University of California at Berkeley (UCB CPAM).

    This series is jointly published between the AMS and the Center for Pure and Applied Mathematics at the University of California at Berkeley (UCB CPAM).

    Readership

    Graduate students and research mathematicians interested in global analysis and analysis on manifolds.

  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 81997; 137 pp
MSC: Primary 58; Secondary 70; 81;

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.

This series is jointly published between the AMS and the Center for Pure and Applied Mathematics at the University of California at Berkeley (UCB CPAM).

This series is jointly published between the AMS and the Center for Pure and Applied Mathematics at the University of California at Berkeley (UCB CPAM).

Readership

Graduate students and research mathematicians interested in global analysis and analysis on manifolds.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.