Bicovariant differential calculus on quantum groups and wave mechanics

Ursula Carow-Watamura, Satoshi Watamura, Arthur Hebecker, Michael Schlieker, Wolfgang Weich

Research output: Contribution to journalArticlepeer-review

Abstract

The bicovariant differential calculus on quantum groups being defined by Woronowicz and later worked out explicitly by Carow-Watamura et at. and Jurčo for the real quantum groups SUq(N) and SOq(N) through a systematic construction of the bicovariant bimodules of these quantum groups is reviewed for SUq(2) and SOq(N). The resulting vector fields build representations of the quantized universal enveloping algebras acting as covariant differential operators on the quantum groups and their associated quantum spaces. As an application a free particle stationary wave equation on quantum space is formulated and solved in terms of a complete set of energy eigenfunctions.

Original languageEnglish
Pages (from-to)1279-1288
Number of pages10
JournalCzechoslovak Journal of Physics
Volume42
Issue number12
DOIs
Publication statusPublished - 1992 Dec 1

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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