Logo

Lectures on the Geometry of Quantization

Small book cover: Lectures on the Geometry of Quantization

Lectures on the Geometry of Quantization
by

Publisher: University of California at Berkeley
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).

Home page url

Download or read it online for free here:
Download link
(720KB, PDF)

Similar books

Book cover: Noncommutative Geometry, Quantum Fields and MotivesNoncommutative Geometry, Quantum Fields and Motives
by - American Mathematical Society
The unifying theme of this book is the interplay among noncommutative geometry, physics, and number theory. The two main objects of investigation are spaces where both the noncommutative and the motivic aspects come to play a role.
(8057 views)
Book cover: Geometry and Topology in Electronic Structure TheoryGeometry and Topology in Electronic Structure Theory
by - 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.
(6190 views)
Book cover: Geometry in PhysicsGeometry in Physics
by
Contents: Exterior Calculus (Exterior Algebra, Differential forms in Rn, Metric, Gauge theory); Manifolds (Basic structures, Tangent space); Lie groups (Lie group actions, Lie algebras, Lie algebra actions, From Lie algebras to Lie groups).
(8140 views)
Book cover: Introduction to Braided Geometry and q-Minkowski SpaceIntroduction to Braided Geometry and q-Minkowski Space
by - arXiv
Systematic introduction to the geometry of linear braided spaces. These are versions of Rn in which the coordinates xi have braid-statistics described by an R-matrix. From this starting point we survey the author's braided-approach to q-deformation.
(5303 views)