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Revisiting Horn's problem

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Academic year: 2021

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Figure

Figure 1: Comparing the action of SO(3) (left), SU(3) (middle) and USp(3) (right) on α “ β “ p1, 0, ´1q.
Figure 2: Histogram of the diagonal elements pA 11 , A 22 q, for A “ Odiag p7, 4, ´11qO ´1 , O P SOp3q.
Figure 4: SU(3): (left) Horn’s polygon with the lines of non-differentiability, drawn here for α “ p11, ´1, ´10q, β “ p7, 4, ´11q; (middle) histogram of 10 6 samples of γ; (right) the PDF of (7) for the same α and β.
Figure 5: Comparing results of analytical calculations with “experimental” histograms
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