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Operator Representations on Quantum Spaces

Claudia Bauer·Hartmut Wachter
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Abstract

In this article we present explicit formulae for q-differentiation on quantum spaces which could be of particular importance in physics, i.e., q-deformed Minkowski space and q-deformed Euclidean space in three or four dimensions. The calculations are based on the covariant differential calculus of these quantum spaces. Furthermore, our formulae can be regarded as a generalization of Jackson's q-derivative to three and four dimensions.

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Claudia Bauer, Hartmut Wachter. 2003-09-02. Operator Representations on Quantum Spaces. https://doi.org/10.1140/epjc%2Fs2003-01324-0

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