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Open AccessPreprint10.14311/1819

Non-Hermitian Star-shaped Quantum Graphs

Miloslav Znojil-2013-01-03-Acta Polytechnica
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TL;DRAbstract

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.

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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.

Keywords

Hermitian matrixVertex (graph theory)Star (game theory)Quantum graphQuantumMathematicsInflowInterpretation (philosophy)

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