Spectral asymptotics for quantum graphs with equal edge lengths

200828 citationsJournal Article

Authors

Robert Carlson · University of Colorado Colorado Springs

Vyacheslav Pivovarchik · South Ukrainian National Pedagogical University named after K. D. Ushynsky

Abstract

If q is smooth on the edges of a finite metric graph with all edges of length one, the eigenvalues of the Schrodinger operator −D2 + q with standard vertex conditions have generalized asymptotic expansions to all orders.

Topics & Keywords

Spectral Theory in Mathematical Physics Quantum chaos and dynamical systems Quantum Mechanics and Non-Hermitian Physics

Publication Details

Published in: Journal of Physics A Mathematical and Theoretical

Volume 41, Issue 14, pp. 145202-145202

DOI: 10.1088/1751-8113/41/14/145202

Field-Weighted Citation Impact: 0.88

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Spectral asymptotics for quantum graphs with equal edge lengths

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Abstract

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Publication Details