Invariant integration over the orthogonal group

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dc.creatorBraun, Daniel
dc.date2006-07-28
dc.date.accessioned2026-07-07T07:20:35Z
dc.date.available2026-07-07T07:20:35Z
dc.descriptionI 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.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0607064
dc.identifierhttp://arxiv.org/abs/math-ph/0607064
dc.identifierJ. Phys. A: Math. Gen. 39 (2006) 14581-14590
dc.identifierdoi:10.1088/0305-4470/39/47/005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114998
dc.subjectMathematical Physics
dc.subjectMesoscale and Nanoscale Physics
dc.subjectQuantum Physics
dc.subject20G20
dc.titleInvariant integration over the orthogonal group
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