Spectral edge regularity of magnetic Hamiltonians

被引：8

作者：

Cornean, Horia D. ^{[1
]}

Purice, Radu ^{[2
,3
]}

机构：

[1] Aalborg Univ, Dept Math Sci, DK-9220 Aalborg, Denmark

[2] Romanian Acad, Inst Math Simion Stoilow, RO-14700 Bucharest, Romania

[3] CNRS Franco Roumain Math Mode, Lab European Associe, Bucharest, Romania

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2015年 / 92卷

关键词：

LIPSCHITZ CONTINUITY; SCHRODINGER; OPERATORS; STABILITY; PARTICLE; GAPS;

D O I：

10.1112/jlms/jdv019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We analyse the spectral edge regularity of a large class of magnetic Hamiltonians when the perturbation is generated by a globally bounded magnetic field. We can prove Lipschitz regularity of spectral edges if the magnetic field perturbation is either constant or slowly variable. We also recover an older result by G. Nenciu who proved Lipschitz regularity up to a logarithmic factor for general globally bounded magnetic field perturbations.

引用

页码：89 / 104

页数：16

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