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• W2074458853 startingPage "139" @default.
• W2074458853 abstract "We consider magnetic Schrödinger operators on quantum graphs with identical edges. The spectral problem for the quantum graph is reduced to the discrete magnetic Laplacian on the underlying combinatorial graph and a certain Hill operator. In particular, it is shown that the spectrum on the quantum graph is the preimage of the combinatorial spectrum under a certain entire function. Using this Correspondence we show that the number of gaps in the spectrum of the Schrödinger operators admits an estimate from below in terms of the Hill operator independently of the graph structure." @default.
• W2074458853 created "2016-06-24" @default.
• W2074458853 creator A5046730581 @default.
• W2074458853 date "2006-06-14" @default.
• W2074458853 modified "2023-09-27" @default.
• W2074458853 title "Spectra of Schrödinger Operators on Equilateral Quantum Graphs" @default.
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• W2074458853 doi "https://doi.org/10.1007/s11005-006-0088-0" @default.
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