Bicovariant differential calculus on quantum groups and wave mechanics

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

研究成果: Article査読

抄録

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.

本文言語English
ページ(範囲)1279-1288
ページ数10
ジャーナルCzechoslovak Journal of Physics
42
12
DOI
出版ステータスPublished - 1992 12 1

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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