PERTURBATION-THEORY FORMULAS FOR THE SCHRODINGER-EQUATION WITH A NONSMOOTH PERIODIC POTENTIAL

被引：5

作者：

KARPESHINA, YE

机构：

来源：

MATHEMATICS OF THE USSR-SBORNIK | 1992年 / 71卷 / 01期

关键词：

D O I：

10.1070/SM1992v071n01ABEH002127

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Series from perturbation theory are constructed for the Bloch eigenvalues and eigenfunctions for the periodic Schrodinger operator in R3. An extensive set of quasimomenta on which the series converge is described. It is shown that the series have asymptotic character at high energies. They are infinitely differentiable with respect to the quasimomentum, and preserve their asymptotic character under such differentiation.

引用

页码：101 / 123

页数：23