arXiv:math-ph/0607064 Abstract

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Invariant integration over the orthogonal group

Published 2006-07-28Version 1

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.

Comments: 13 pages

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

DOI: 10.1088/0305-4470/39/47/005

Categories: math-ph, cond-mat.mes-hall, math.MP, quant-ph

Subjects: 20G20

Keywords: orthogonal group, invariant integration, unitary group, derive explicit formulas, three-vector integrals

Tags: journal article

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