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Bound states in point-interaction star graphs

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Publication:2766276
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DOI10.1088/0305-4470/34/38/306zbMath0994.81038arXivquant-ph/0106047OpenAlexW3105981868MaRDI QIDQ2766276

K. Němcová, Pavel Exner

Publication date: 27 January 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0106047


zbMATH Keywords

essential spectruminfinite family of point interactionsinfinite straight polymerstar-shaped graph with \(N\) armstwo-dimensional quantum particle


Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Many-body theory; quantum Hall effect (81V70)


Related Items (3)

Cryptohermitian Hamiltonians on graphs. II: Hermitizations ⋮ Estimates for the lowest eigenvalue of a star graph ⋮ Rényi and Tsallis entropies related to eigenfunctions of quantum graphs




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