Symbolic integration with respect to the Haar measure on the unitary groups

TytułSymbolic integration with respect to the Haar measure on the unitary groups
Publication TypeJournal Article
Rok publikacji2017
AutorzyPuchała Z, Miszczak J.A.
JournalBulletin of the Polish Academy of Sciences Technical Sciences
Volume65
Issue1
Start Page21
Date Published02/2017
Abstract

We present IntU package for Mathematica computer algebra system. The presented package performs a symbolic integration of polynomial functions over the unitary group with respect to unique normalized Haar measure. We describe a number of special cases which can be used to optimize the calculation speed for some classes of integrals. We also provide some examples of usage of the presented package.

URLhttps://doi.org/10.1515/bpasts-2017-0003
DOI10.1515/bpasts-2017-0003