Quantum star-graph analogues of PT-symmetric square wells. II: Spectra
Quantum Physics
2015-07-14 v1 Spectral Theory
Abstract
For non-Hermitian equilateral q-pointed star-shaped quantum graphs of paper I [Can. J. Phys. 90, 1287 (2012), arXiv 1205.5211] we show that due to certain dynamical aspects of the model as controlled by the external, rotation-symmetric complex Robin boundary conditions, the spectrum is obtainable in a closed asymptotic-expansion form, in principle at least. Explicit formulae up to the second order are derived for illustration, and a few comments on their consequences are added.
Keywords
Cite
@article{arxiv.1411.3828,
title = {Quantum star-graph analogues of PT-symmetric square wells. II: Spectra},
author = {Miloslav Znojil},
journal= {arXiv preprint arXiv:1411.3828},
year = {2015}
}
Comments
12 pages, 1 figure, a complement of part I (arXiv 1205.5211)