Published September 2015 | Version v1
Journal article Metadata-only

Functional analysis and quantum mechanics: an introduction for physicists

Creators

  • 1. Ulm Univ. (Germany). Inst. fuer Quantenphysik and Center for Integrated Quantum Science and Technology (IQST)

Description

We give an introduction to certain topics from functional analysis which are relevant for physics in general and in particular for quantum mechanics. Starting from some examples, we discuss the theory of Hilbert spaces, spectral theory of unbounded operators, distributions and their applications and present some facts from operator algebras. We do not give proofs, but present examples and analogies from physics which should be useful to get a feeling for the topics considered. (copyright 2015 WILEY-VCH Verlag GmbH and Co. KGaA, Weinheim)

Availability note (English)

Available from: http://dx.doi.org/10.1002/prop.201500023

Additional details

Identifiers

DOI
10.1002/prop.201500023;

Publishing Information

Journal Title
Fortschritte der Physik (Online)
Journal Volume
63
Journal Issue
9-10
Journal Page Range
p. 644-658
ISSN
1521-3978

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
46130762
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Progress Report
Descriptors DEI
ALGEBRA; COMMUTATORS; CONVERGENCE; DIFFERENTIAL CALCULUS; EIGENVALUES; FUNCTIONAL ANALYSIS; HERMITIAN OPERATORS; HILBERT SPACE; INTEGRAL CALCULUS; LECTURES; LINEAR MOMENTUM OPERATORS; MEASURE THEORY; POSITION OPERATORS; PROGRESS REPORT; QUANTUM MECHANICS; WAVE FUNCTIONS
Descriptors DEC
BANACH SPACE; DOCUMENT TYPES; FUNCTIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MATHEMATICS; MECHANICS; QUANTUM OPERATORS; SPACE