Lecture notes on C*-algebras, Hilbert C*-modules, and quantum mechanics
by N.P. Landsman
Publisher: arXiv 1998
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.
Download or read it online for free here:
Download link
(1MB, PDF)
Similar books
Operator Algebras and Quantum Statistical Mechanicsby Ola Bratteli, Derek W. Robinson - Springer
These two volumes present the theory of operator algebras with applications to quantum statistical mechanics. The authors' approach to the operator theory is to a large extent governed by the dictates of the physical applications.
(20603 views)
Special Course in Functional Analysis: (Non-)Commutative Topologyby Ville Turunen - Aalto TKK
In this book you will learn something about functional analytic framework of topology. And you will get an access to more advanced literature on non-commutative geometry, a quite recent topic in mathematics and mathematical physics.
(13001 views)
Functional Analysis with Applicationsby Palle Jorgensen, Feng Tian - 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.
(12785 views)
Spectral Theoryby Leif Mejlbro - BookBoon
Spectral Theory - Functional Analysis Examples. Contents: Spectrum and resolvent; The adjoint of a bounded operator; Self adjoint operator; Isometric operators; Unitary and normal operators; Positive operators and projections; Compact operators.
(15325 views)