Symmetry and degeneracy, exceptional point and coalescence: a pedagogical approach
Abstract
We show a parameter-dependent 3× 3 non-Hermitian matrix that exhibits both degeneracy and coalescence of eigenvalues at an exceptional point (Hermitian and non-Hermitian degeneracies). This simple non-Hermitian model is suitable for the discussion of those concepts in an undergraduate or graduate course on quantum-mechanics. We also study the symmetry group responsible for the degeneracy.
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