Eigenvalue degeneracies of parameterized Hermitian matrices

Discussion in 'Math Research' started by Lou Pagnucco, Oct 10, 2011.

  1. Lou Pagnucco

    Lou Pagnucco Guest

    If H(x,y) is an NxN parameterized Hermitian matrix, where x,y are
    real,
    what are the maximum number of points at which the two smallest
    eigenvalues
    are degenerate in the xy-plane if m (<N) entries of H(x,y) are

    (a) linear in x and y?
    (b) quadratic in x and y?
     
    Lou Pagnucco, Oct 10, 2011
    #1
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