English

q-Integration on Quantum Spaces

High Energy Physics - Theory 2007-05-23 v3 Quantum Algebra

Abstract

In this article we present formulae for q-integration on quantum spaces which could be of particular importance in physics, i.e. q-deformed Minkowski space and q-deformed Euclidean space in 3 or 4 dimensions. Furthermore, our formulae can be regarded as a generalization of Jackson's q-integral to 3 and 4 dimensions and provide a new possibility for an integration over the whole space being invariant under translations and rotations.

Keywords

Cite

@article{arxiv.hep-th/0206083,
  title  = {q-Integration on Quantum Spaces},
  author = {Hartmut Wachter},
  journal= {arXiv preprint arXiv:hep-th/0206083},
  year   = {2007}
}

Comments

38 pages, Latex, corrected typos, major modifications to improve clarity