Invariant integration over the orthogonal group
arXiv:math-ph/0607064 · doi:10.1088/0305-4470/39/47/005
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.
13 pages
References in corpus (7)
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- Mesoscopic Transport Through Ballistic Cavities: A Random S-Matrix Theory Approach
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- Distribution of Interference in the Presence of Decoherence