Composite parameterization and Haar measure for all unitary and special unitary groups

Autor(en)

Christoph Spengler, Marcus Huber, Beatrix Hiesmayr

Abstrakt

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(en)

Teilchenphysik

Journal

Journal of Mathematical Physics

Band

53

Anzahl der Seiten

22

ISSN

0022-2488

DOI

https://doi.org/10.1063/1.3672064

Publikationsdatum

2012

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/composite-parameterization-and-haar-measure-for-all-unitary-and-special-unitary-groups(2e717b3f-dedb-4354-bf63-a1e8f84c2fe3).html