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: 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.
(9144 views)
Book cover: An Introduction to Hilbert Module Approach to Multivariable Operator TheoryAn Introduction to Hilbert Module Approach to Multivariable Operator Theory
by - arXiv
An introduction of Hilbert modules over function algebras. The theory of Hilbert modules is presented as combination of commutative algebra, complex geometry and Hilbert spaces and its applications to the theory of n-tuples of commuting operators.
(5748 views)
Book cover: Lectures on Cyclic HomologyLectures on Cyclic Homology
by - Tata Institute of Fundamental Research
Contents: Exact Couples and the Connes Exact Couple; Abelianization and Hochschild Homology; Cyclic Homology and the Connes Exact Couple; Cyclic Homology and Lie Algebra Homology; Mixed Complexes, the Connes Operator B; and more.
(7678 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.
(8851 views)