Non-Hermitian Star-shaped Quantum Graphs

Miloslav Znojil


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 endowedwith 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.


quantum observables; hidden Hermiticity; non-local inner products; smearing requirement; discretized coordinates; exactly solvable quantum graphs

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ISSN 1210-2709 (Print)
ISSN 1805-2363 (Online)
Published by the Czech Technical University in Prague