https://github.com/iitis/intu

Mathematica package for calculating polynomial integrals over the unitary group
https://github.com/iitis/intu

mathematical-physics mathematics symbolic-manipulation unitary-group

Last synced: about 1 month ago
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Mathematica package for calculating polynomial integrals over the unitary group

• Host: GitHub
• URL: https://github.com/iitis/intu
• Owner: iitis
• Created: 2019-09-18T11:31:27.000Z (over 5 years ago)
• Default Branch: master
• Last Pushed: 2020-04-22T12:00:09.000Z (over 4 years ago)
• Last Synced: 2024-03-26T02:29:00.711Z (9 months ago)
• Topics: mathematical-physics, mathematics, symbolic-manipulation, unitary-group
• Language: Mathematica
• Homepage:
• Size: 190 KB
• Stars: 11
• Watchers: 4
• Forks: 3
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

        


[![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.3760733.svg)](https://doi.org/10.5281/zenodo.3760733)

# IntU

## Description

*IntU* is a package for Mathematica computer algebra system, which allows to

calculate polynomial integrals over the unitary group with respect to the Haar

measure.

## Installation

The package can be installed by placing `IntU.m` file in `Applications`

subdirectory of `.Mathematica` directory.

## Documentation

Help messages for the implemented functions are document in `IntU_functions.nb`

notebook. The are also available in the PDF format in `IntU_functions.pdf`.

## Authors

[Z. Puchała](https://iitis.pl/en/person/zpuchala),

[J.A. Miszczak](https://miszczak.eu), IITiS PAN Gliwice, Poland

## Usage and citing

Usage examples are provided in `IntU_examples.nb` notebook. The package was

described in

Z.Puchała, J.A. Miszczak, *Symbolic integration with respect to the Haar measure on the unitary group*, Bull. Pol. Acad. Sci.-Tech. Sci., Vol 65, No. 1 (2017), DOI:[10.1515/bpasts-2017-0003](https://doi.org/10.1515/bpasts-2017-0003), arXiv:[1109.4244](https://arxiv.org/abs/1109.4244)

In case of citing our work, please use the following BibTeX data:

```tex

@article{puchala2017symbolic,

  author        = {Pucha{\l}a, Zbigniew and Miszczak, Jaros{\l}aw Adam},

  title         = {Symbolic integration with respect to the {Haar} measure on the unitary group},

  journal       = {Bull. Pol. Acad. Sci.-Tech. Sci.},

  volume        = {65},

  issue         = {1},   

  year          = {2017},

  doi           = {10.1515/bpasts-2017-0003},

  eprint        = {arXiv:1109.4244},

  url           = {https://github.com/iitis/IntU}

}

```