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: Hilbert Spaces and Operators on Hilbert SpacesHilbert Spaces and Operators on Hilbert Spaces
by - BookBoon
Functional analysis examples. From the table of contents: Hilbert spaces; Fourier series; Construction of Hilbert spaces; Orthogonal projections and complements; Weak convergence; Operators on Hilbert spaces, general; Closed operations.
(8345 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.
(5720 views)
Book cover: Lectures On Some Fixed Point Theorems Of Functional AnalysisLectures On Some Fixed Point Theorems Of Functional Analysis
by - Tata Institute Of Fundamental Research
The book is concerned with the application of a variety of methods to both non-linear (fixed point) problems and linear (eigenvalue) problems in infinite dimensional spaces. Author was interested in the construction of eigenvectors and eigenvalues.
(6214 views)
Book cover: Functional Analysis with ApplicationsFunctional Analysis with Applications
by - arXiv
This book at the beginning graduate level will help students with primary interests elsewhere to acquire a facility with tools of a functional analytic flavor, say in harmonic analysis, numerical analysis, stochastic processes, or in physics.
(6204 views)