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Quantum star-graph analogues of PT-symmetric square wells. II: Spectra

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.

preprint2014arXivOpen access
Miloslav Znojil
math.SPquant-ph
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Miloslav Znojil

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