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Open Quantum Systems Decoherence Quantum Simulation Entanglement Theory Quantum Correlations Quantum State Preparation Representation

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

arXiv

Authors: Miloslav Znojil

Year

2014

Paper ID

46456

Status

Preprint

Abstract Read

~2 min

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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.

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For non-Hermitian equilateral q-pointed star-shaped quantum graphs of paper I [Can.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1411.3828 [2] arXiv https://arxiv.org/abs/1411.3828 [3] Publisher https://arxiv.org/abs/1411.3828

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