Invariant integration over the orthogonal group
classification
🧮 math-ph
cond-mat.mes-hallmath.MPquant-ph
keywords
groupformulasorthogonaladaptaubertcasescomplicatedderive
read the original 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.
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