BAND-STRUCTURE OF A ONE-DIMENSIONAL, PERIODIC SYSTEM IN A SCALING LIMIT

被引：43

作者：

HARRELL, EM

机构：

[1] Department of Mathematics, Massachusetts Institute of Technology, Cambridge

来源：

ANNALS OF PHYSICS | 1979年 / 119卷 / 02期

关键词：

D O I：

10.1016/0003-4916(79)90191-X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The band-structure of one-dimensional Schrödinger operators is calculated when there are (a) high potential barriers (or deep wells), or (b) a wide lattice-spacing (i.e., the distance between minima of the potential). Explicit power-series formulae and error estimates are rigorously proved. The procedure used, a rigorous semi-classical method, is actually convergent for nonzero scaling parameters. Some general facts about the spectra are also discussed. © 1979.

引用

页码：351 / 369

页数：19