Invariant integration over the orthogonal group

Details Invariant integration over the orthogonal group Invariant integration over the orthogonal group

2006-07-28

arxiv.org/abs/math-ph/0607064v1

J. Phys. A: Math. Gen. 39 (2006) 14581-14590

Physics

Mathematical Physics

13 pages

Scientific paper

10.1088/0305-4470/39/47/005

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.

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