Published October 2016 | Version v1
Journal article Metadata-only

A model of the two-dimensional quantum harmonic oscillator in an AdS3 background

Creators

  • 1. Universitaet zu Koeln, Institut fuer Theoretische Physik, Cologne (Germany)

Description

In this paper we study a model of the two-dimensional quantum harmonic oscillator in a three-dimensional anti-de Sitter background. We use a generalized Schroedinger picture in which the analogs of the Schroedinger operators of the particle are independent of both the time and the space coordinates in different representations. The spacetime independent operators of the particle induce the Lie algebra of Killing vector fields of the AdS3 spacetime. In this picture, we have a metamorphosis of the Heisenberg uncertainty relations. (orig.)

Availability note (English)

Available from: http://dx.doi.org/10.1140/epjc/s10052-016-4381-5

Additional details

Identifiers

DOI
10.1140/epjc/s10052-016-4381-5;

Publishing Information

Journal Title
European Physical Journal. C, Particles and Fields (Online)
Journal Volume
76
Journal Issue
10
Journal Page Range
p. 1-4
ISSN
1434-6052

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
48000252
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ANALYTICAL SOLUTION; ANTI DE SITTER SPACE; COMMUTATION RELATIONS; EIGENFUNCTIONS; EIGENVALUES; ENERGY SPECTRA; FIELD ALGEBRA; HAMILTONIANS; HARMONIC OSCILLATORS; HYPERGEOMETRIC FUNCTIONS; LINEAR MOMENTUM OPERATORS; QUANTUM MECHANICS; SCHROEDINGER EQUATION; SCHROEDINGER PICTURE; SO GROUPS; THREE-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL CALCULATIONS; UNCERTAINTY PRINCIPLE; VECTOR FIELDS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; LIE GROUPS; MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; SPACE; SPECTRA; SYMMETRY GROUPS; WAVE EQUATIONS