SOq(N) covariant differential calculus on quantum space and quantum deformation of schrödinger equation

U. Carow-Watamura, M. Schlieker, S. Watamura

Research output: Contribution to journalArticlepeer-review

84 Citations (Scopus)

Abstract

We construct a differential calculus on the N-dimensional non-commutative Euclidean space, i.e., the space on which the quantum group SOq(N) is acting. The differential calculus is required to be manifestly covariant under SOq(N) transformations. Using this calculus, we consider the Schrödinger equation corresponding to the harmonic oscillator in the limit of q→1. The solution of it is given by q-deformed functions.

Original languageEnglish
Pages (from-to)439-446
Number of pages8
JournalZeitschrift für Physik C Particles and Fields
Volume49
Issue number3
DOIs
Publication statusPublished - 1991 Sep 1
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Fingerprint

Dive into the research topics of 'SO<sub>q</sub>(N) covariant differential calculus on quantum space and quantum deformation of schrödinger equation'. Together they form a unique fingerprint.

Cite this