Surprising spectra of PT-symmetric point interactions
Mathematical Physics
2009-06-02 v1 math.MP
Abstract
Spectra of the second derivative operators corresponding to the special PT-symmetric point interactions are studied. The results are partly the completion of those obtained in [1]. The particular PT-symmetric point interactions causing unusual spectral effects are investigated for the systems defined on a finite interval as well. The spectrum of this type of interactions is very far from the self-adjoint case despite of PT-symmetry, P-pseudo-Hermiticity and T-self-adjointness.
Cite
@article{arxiv.0906.0226,
title = {Surprising spectra of PT-symmetric point interactions},
author = {Petr Siegl},
journal= {arXiv preprint arXiv:0906.0226},
year = {2009}
}