The spectrum of magnetic Schrödinger operators on a graph with periodic structure
Y Higuchi, T Shirai - Journal of Functional Analysis, 1999 - Elsevier
Y Higuchi, T Shirai
Journal of Functional Analysis, 1999•ElsevierFor discrete magnetic Schrödinger operators on covering graphs of a finite graph, we
investigate two spectral properties:(1) the relationship between the spectrum of the operator
on the covering graph and that on a finite graph,(2) the analyticity of the bottom of the
spectrum with respect to magnetic flow. Also we compute the second derivative of the bottom
of the spectrum and represent it in terms of geometry of a graph.
investigate two spectral properties:(1) the relationship between the spectrum of the operator
on the covering graph and that on a finite graph,(2) the analyticity of the bottom of the
spectrum with respect to magnetic flow. Also we compute the second derivative of the bottom
of the spectrum and represent it in terms of geometry of a graph.
For discrete magnetic Schrödinger operators on covering graphs of a finite graph, we investigate two spectral properties: (1) the relationship between the spectrum of the operator on the covering graph and that on a finite graph, (2) the analyticity of the bottom of the spectrum with respect to magnetic flow. Also we compute the second derivative of the bottom of the spectrum and represent it in terms of geometry of a graph.
Elsevier
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