Invariant integration over the orthogonal group
Mathematical Physics
2007-05-23 v1 Mesoscale and Nanoscale Physics
math.MP
Quantum Physics
Abstract
I adapt a recently introduced method for integrating over the unitary group (S. Aubert and C.S. Lam, J.Math.Phys. 44, 6112-6131 (2003)) to the orthogonal group. I derive explicit formulas for a number of one, two and three-vector integrals, as well as recursion formulas for more complicated cases.
Cite
@article{arxiv.math-ph/0607064,
title = {Invariant integration over the orthogonal group},
author = {Daniel Braun},
journal= {arXiv preprint arXiv:math-ph/0607064},
year = {2007}
}
Comments
13 pages