Nagoya Mathematical Journal
- Nagoya Math. J.
- Volume 161 (2001), 127-154.
Weak Bloch property for discrete magnetic Schrödinger operators
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.
Nagoya Math. J. Volume 161 (2001), 127-154.
First available in Project Euclid: 27 April 2005
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 58J99: None of the above, but in this section
Secondary: 05C50: Graphs and linear algebra (matrices, eigenvalues, etc.) 39A70: Difference operators [See also 47B39] 82B41: Random walks, random surfaces, lattice animals, etc. [See also 60G50, 82C41]
Higuchi, Yusuke; Shirai, Tomoyuki. Weak Bloch property for discrete magnetic Schrödinger operators. Nagoya Math. J. 161 (2001), 127--154. https://projecteuclid.org/euclid.nmj/1114631555.