Logo

Lecture notes on C*-algebras, Hilbert C*-modules, and quantum mechanics

Small book cover: Lecture notes on C*-algebras, Hilbert C*-modules, and quantum mechanics

Lecture notes on C*-algebras, Hilbert C*-modules, and quantum mechanics
by

Publisher: arXiv
Number of pages: 90

Description:
This is a graduate-level introduction to C*-algebras, Hilbert C*-modules, vector bundles, and induced representations of groups and C*-algebras, with applications to quantization theory, phase space localization, and configuration space localization. The reader is supposed to know elementary functional analysis and quantum mechanics.

Home page url

Download or read it online for free here:
Download link
(1MB, PDF)

Similar books

Book cover: Fredholm Operators and Spectral FlowFredholm Operators and Spectral Flow
by - arXiv
Fredholm operators are one of the most important classes of linear operators in mathematics. The aim of these notes is an essentially self-contained introduction to the spectral flow for paths of (generally unbounded) selfadjoint Fredholm operators.
(8597 views)
Book cover: Operators on Hilbert SpaceOperators on Hilbert Space
by - King's College London
These are notes for a King's College course to fourth year undergraduates and MSc students. They cover the theoretical development of operators on Hilbert space up to the spectral theorem for bounded selfadjoint operators.
(11226 views)
Book cover: Basic Analysis Gently Done: Topological Vector SpacesBasic Analysis Gently Done: Topological Vector Spaces
by - King's College, London
These notes are based on lectures given as part of a mathematics MSc program. The approach here is to discuss topological vector spaces - with normed spaces considered as special cases. Contents: Topological Spaces; Nets; Product Spaces; etc.
(12418 views)
Book cover: Nonlinear Functional AnalysisNonlinear Functional Analysis
by - University of Vienna
This manuscript provides a brief introduction to nonlinear functional analysis. As an application we consider partial differential equations and prove existence and uniqueness for solutions of the stationary Navier-Stokes equation.
(16492 views)