2002/06/18 by S. Albeverio, S. M. Fei, P. Kurasov
Physics and Astronomy · #quant-ph
published as Lett. Math. Phys. 59, 2002(227-242) · 17 pages
arxiv created 2002/06/18 · arxiv updated 2009/12/01
General point interactions for the second derivative operator in one dimension are studied. In particular, \mathcal P \mathcal 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.