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.
(10265 views)
Book cover: Functional Analysis Lecture NotesFunctional Analysis Lecture Notes
by - University of East Anglia
Lecture notes for a 3rd year undergraduate course in functional analysis. By the end of the course, you should have a good understanding of normed vector spaces, Hilbert and Banach spaces, fixed point theorems and examples of function spaces.
(9177 views)
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.
(4450 views)
Book cover: Integral OperatorsIntegral Operators
by - BookBoon
Examples of Hilbert-Smith operators and other types of integral operators, Hilbert Schmidt norm, Volterra integral operator, Cauchy-Schwarz inequality, Hoelder inequality, iterated kernels, Hermitian kernel, and much more.
(9519 views)