Spinor calculus for q-deformed quantum spaces I
High Energy Physics - Theory
2007-05-23 v1
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.
Cite
@article{arxiv.0705.1640,
title = {Spinor calculus for q-deformed quantum spaces I},
author = {Alexander Schmidt and Hartmut Wachter},
journal= {arXiv preprint arXiv:0705.1640},
year = {2007}
}