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
Geometry and Topology in Electronic Structure Theoryby 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.
(6921 views)
Geometry of Quantum Mechanicsby Ingemar Bengtsson - Stockholms universitet, Fysikum
These are the lecture notes from a graduate course in the geometry of quantum mechanics. The idea was to introduce the mathematics in its own right, but not to introduce anything that is not directly relevant to the subject.
(10465 views)
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.
(7766 views)
Differential Geometry in Physicsby 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.
(14376 views)