Point Interactions: PT-Hermiticity and Reality of the Spectrum
S. Albeverio, S. M. Fei, P. Kurasov
Abstract
General point interactions for the second derivative operator in one dimension are studied. In particular, P T-self-adjoint point interactions with the support at the origin and at points l are considered. The spectrum of such non-Hermitian operators is investigated and conditions when the spectrum is pure real are presented. The results are compared with those for standard self-adjoint point interactions.
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