Composite parameterization and Haar measure for all unitary and special unitary groups
- Author(s)
- Christoph Spengler, Marcus Huber, Beatrix Hiesmayr
- Abstract
We adopt the concept of the composite parameterization of the unitary group U(d) to the special unitary group SU(d). Furthermore, we also consider the Haar measure in terms of the introduced parameters. We show that the well-defined structure of the parameterization leads to a concise formula for the normalized Haar measure on U(d) and SU(d). With regard to possible applications of our results, we consider the computation of high-order integrals over unitary groups.
- Organisation(s)
- Particle Physics
- Journal
- Journal of Mathematical Physics
- Volume
- 53
- No. of pages
- 22
- ISSN
- 0022-2488
- DOI
- https://doi.org/10.1063/1.3672064
- Publication date
- 2012
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103025 Quantum mechanics
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/2e717b3f-dedb-4354-bf63-a1e8f84c2fe3