Derivation of the density of states for periodic operators by the method of asymptotic expansion

被引：0

作者：

Cherednichenko, KD ^{[1
]}

Padilla, P

机构：

[1] Univ Oxford St Johns Coll, Oxford OX1 3JP, England

[2] IIMAS, Mexico City 04510, DF, Mexico

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2005年 / 48卷

关键词：

bloch waves; density of states; asymptotics;

D O I：

10.1017/S0013091504000707

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A new asymptotic approach is suggested for studying spectra of linear differential operators with periodic coefficients. The resulting formal recurrent procedure and its rigorous justification allow us to prove a classical theorem on the density of states in one dimension.

引用

页码：51 / 60

页数：10

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