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2001 Weak Bloch property for discrete magnetic Schrödinger operators
Yusuke Higuchi, Tomoyuki Shirai
Nagoya Math. J. 161: 127-154 (2001).

Abstract

For a magnetic Schrödinger operator on a graph, which is a generalization of classical Harper operator, we study some spectral properties: the Bloch property and the behaviour of the bottom of the spectrum with respect to magnetic fields. We also show some examples which have interesting properties.

Citation

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Yusuke Higuchi. Tomoyuki Shirai. "Weak Bloch property for discrete magnetic Schrödinger operators." Nagoya Math. J. 161 127 - 154, 2001.

Information

Published: 2001
First available in Project Euclid: 27 April 2005

zbMATH: 0985.58011
MathSciNet: MR1820215

Subjects:
Primary: 58J99
Secondary: 05C50, 39A70, 82B41

Rights: Copyright © 2001 Editorial Board, Nagoya Mathematical Journal

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Vol.161 • 2001
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