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Critical parameters for non-hermitian Hamiltonians

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arxiv 1305.5164 v2 pith:Q2W4EQR2 submitted 2013-04-30 math-ph math.MP

classification math-phmath.MP
keywords criticalhamiltoniansmodelsnon-hermitianparametersaccurateappearancecalculate
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We calculate accurate critical parameters for a class of non-hermitian Hamiltonians by means of the diagonalization method. We study three one-dimensional models and two perturbed rigid rotors with PT symmetry. One of the latter models illustrates the necessity of a more general condition for the appearance of real eigenvalues that we also discuss here.

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