Spinor calculus for q-deformed quantum spaces I

Alexander Schmidt; Hartmut Wachter

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arXiv · 0705.1640

Spinor calculus for q-deformed quantum spaces I

Alexander Schmidt·Hartmut Wachter

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Abstract

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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Alexander Schmidt, Hartmut Wachter. 2007-05-11. Spinor calculus for q-deformed quantum spaces I. https://arxiv.org/abs/0705.1640

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