Bicovariant differential calculus on quantum groups and wave mechanics

DOI10.1007/BF01589657zbMath0964.17504OpenAlexW2028749167MaRDI QIDQ1578786

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

Publication date: 10 September 2000

Published in: Czechoslovak Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01589657

zbMATH Keywords

quantum groupsquantized universal enveloping algebrasbicovariant differential calculusfree particle stationary wave equation

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative differential geometry (46L87) Noncommutative geometry methods in quantum field theory (81T75) Geometry of quantum groups (58B32)

Cites Work

• Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Bicovariant differential calculus on quantum groups \(SU_ q(N)\) and \(SO_ q(N)\)
• Differential calculus on quantized simple Lie groups
• Differential calculus on compact matrix pseudogroups (quantum groups)
• BASIC INTEGRATION

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