Semiclassical asymptotics and gaps in the spectra of magnetic Schrödinger operators

被引：0

作者：

Mathai V. ^{[1
,2
]}

Shubin M. ^{[3
]}

机构：

[1] Department of Mathematics, University of Adelaide, Adelaide

[2] Department of Mathematics, MIT, Cambridge

[3] Department of Mathematics, Northeastern University, Boston

来源：

Geometriae Dedicata | 2002年 / 91卷 / 1期

关键词：

Magnetic Schrödinger operators; Morse potentials; Semiclassical approximation; Spectral gaps;

D O I：

10.1023/A:1016245930716

中图分类号：

学科分类号：

摘要：

In this paper, we study an L2 version of the semiclassical approximation of magnetic Schrödinger operators with invariant Morse type potentials on covering spaces of compact manifolds. In particular, we are able to establish the existence of an arbitrary large number of gaps in the spectrum of these operators, in the semiclassical limit as the coupling constant μ goes to zero.

引用

页码：155 / 173

页数：18

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