Fricka, R. (2016). A model of the two-dimensional quantum harmonic oscillator in an AdS(3) background. Eur. Phys. J. C, 76 (10). NEW YORK: SPRINGER. ISSN 1434-6052

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Abstract

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 Schrodinger picture in which the analogs of the Schrodinger 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.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Fricka, R.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-258514
DOI: 10.1140/epjc/s10052-016-4381-5
Journal or Publication Title: Eur. Phys. J. C
Volume: 76
Number: 10
Date: 2016
Publisher: SPRINGER
Place of Publication: NEW YORK
ISSN: 1434-6052
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
Physics, Particles & FieldsMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/25851

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