TL;DR
This paper reviews and extends recent research on non-Hermitian star-shaped quantum graphs, presenting new numerical results and exploring unique point interactions with potential physical implications.
Contribution
It introduces new numerical findings and analysis of non-Hermitian point interactions in star-shaped quantum graphs, expanding understanding of their spectral properties.
Findings
Numerical results on spectral properties of non-Hermitian quantum graphs
Analysis of zero-inflow point interactions in outer vertices
Insights into non-Hermitian boundary conditions in quantum graphs
Abstract
A compact review is given, and a few new numerical results are added to the recent studies of the q-pointed one-dimensional star-shaped quantum graphs. These graphs are assumed endowed with certain specific, manifestly non-Hermitian point interactions, localized either in the inner vertex or in all of the outer vertices and carrying, in the latter case, an interesting zero-inflow interpretation.
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