Weak Bloch property for discrete magnetic Schrodinger operators

Yusuke Higuchi; Tomoyuki Shirai

doi:10.1017/S0027763000022157

Weak Bloch property for discrete magnetic Schrodinger operators

Yusuke Higuchi, Tomoyuki Shirai

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

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.

Original language	English
Pages (from-to)	127-154
Number of pages	28
Journal	Nagoya Mathematical Journal
Volume	161
DOIs	https://doi.org/10.1017/S0027763000022157
Publication status	Published - Mar 2001
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)

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title = "Weak Bloch property for discrete magnetic Schrodinger operators",

abstract = "For a magnetic Schr{\"o}dinger 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.",

author = "Yusuke Higuchi and Tomoyuki Shirai",

year = "2001",

month = mar,

doi = "10.1017/S0027763000022157",

language = "English",

volume = "161",

pages = "127--154",

journal = "Nagoya Mathematical Journal",

issn = "0027-7630",

publisher = "Nagoya University",

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AU - Higuchi, Yusuke

AU - Shirai, Tomoyuki

PY - 2001/3

Y1 - 2001/3

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AB - 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.

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U2 - 10.1017/S0027763000022157

DO - 10.1017/S0027763000022157

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EP - 154

JO - Nagoya Mathematical Journal

JF - Nagoya Mathematical Journal

SN - 0027-7630

ER -

Weak Bloch property for discrete magnetic Schrodinger operators

Abstract

All Science Journal Classification (ASJC) codes

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