Differential calculus on quantum spheres

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 1989 English Publisher:Springer Science and Business Media LLCJournal:Letters in Mathematical Physics, volume 18, pages 107-119 (issn: 0377-9017, eissn: 1573-0530,

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Authors: Piotr Podleś;

doi: 10.1007/bf00401865

Differential calculus on quantum spheres

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Abstract

Three-dimensional differential calculus on quantum spheres S infμc sup2 ,μ∈]−1, 1[∖{0}, c∈[0, ∞], is introduced and investigated. Spectra of generalized Laplacians are found. These operators are expressed by generalized directional derivatives. Classical limits of these objects are obtained and a simple approach to quantum mechanics on a quantum sphere is presented.

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University of Warsaw
Poland

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