Spinor calculus for q-deformed quantum spaces I

Details Spinor calculus for q-deformed quantum spaces I Spinor calculus for q-deformed quantum spaces I

2007-05-11

arxiv.org/abs/0705.1640v1

Physics

High Energy Physics

High Energy Physics - Theory

80 pages, LaTex, no figures

Scientific paper

The article is dedicated to q-deformed versions of spinor calculus. As a kind of review, the most relevant properties of the two-dimensional quantum plane are summarized. Additionally, the relationship between the quantum plane and higher-dimensional quantum spaces like the q-deformed Euclidean space in four dimensions or the q-deformed Minkowski space is outlined. These considerations are continued by introducing q-analogs of the Pauli matrices. Their main properties are discussed in detail and numerous relations that could prove useful in physical applications are presented. In this respect, q-deformed versions of the important Fierz identities are written down.

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