2009/06/01 by Petr Siegl, Siegl, Petr
Mathematics · Physics and Astronomy · #47A55 #47B99 #81Q05 #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #math-ph #math.MP #msc:47A55 #msc:47B99 #msc:81Q05
paper · pdf · doi:10.48550/arxiv.0906.0226
arxiv created 2009/06/01 · openalex publication_date 2009/06/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.