A numerical algorithm for the explicit calculation of SU(N) and SL(N,C) Clebsch-Gordan coefficients

Alan Huckleberry; Arne Alex; Jan von Delft; Matthias Kalus

arxiv: 1009.0437 · v2 · pith:4MVE55AGnew · submitted 2010-09-02 · 🧮 math-ph · cond-mat.other· hep-th· math.MP· math.RT· nucl-th

A numerical algorithm for the explicit calculation of SU(N) and SL(N,C) Clebsch-Gordan coefficients

Arne Alex , Matthias Kalus , Alan Huckleberry , Jan von Delft This is my paper

classification 🧮 math-ph cond-mat.otherhep-thmath.MPmath.RTnucl-th

keywords algorithmnumericalcalculationclebsch-gordancoefficientsexplicitappendixcalculus

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We present an algorithm for the explicit numerical calculation of SU(N) and SL(N,C) Clebsch-Gordan coefficients, based on the Gelfand-Tsetlin pattern calculus. Our algorithm is well-suited for numerical implementation; we include a computer code in an appendix. Our exposition presumes only familiarity with the representation theory of SU(2).

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A numerical algorithm for the explicit calculation of SU(N) and SL(N,C) Clebsch-Gordan coefficients

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