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Differential calculus on quantum spheres

✍ Scribed by Piotr Podleś

Publisher
Springer
Year
1989
Tongue
English
Weight
429 KB
Volume
18
Category
Article
ISSN
0377-9017

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✦ Synopsis

Three-dimensional differential calculus on quantum spheres SZu~, # E ] -1, 1[{0}, c e [0, c~], 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.

📜 SIMILAR VOLUMES

Podleś' quantum sphere: dual coalgebra a
Podleś' quantum sphere: dual coalgebra and classification of covariant first-order differential calculus
✍ István Heckenberger; Stefan Kolb 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 212 KB

The dual coalgebra of Podleś' quantum sphere O q (S 2 c ) is determined explicitly. This result is used to classify all finite-dimensional covariant first-order differential calculi over O q (S 2 c ) for all but exceptional values of the parameter c.