Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-20T13:31:39.800Z Has data issue: false hasContentIssue false
  • English
  • Français

ON DERIVATION OF THE DENSITY OF STATES FOR PERIODIC OPERATORS BY THE METHOD OF ASYMPTOTIC EXPANSION

Published online by Cambridge University Press:  15 February 2005

K. D. Cherednichenko  and
P. Padilla
K. D. Cherednichenko
Affiliation:
St John’s College, Oxford OX1 3JP, UK ([email protected])
P. Padilla
Affiliation:
IIMAS, Circuito Escolar, Ciudad Universitaria, 04510, Mexico ([email protected])
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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.

AMS 2000 Mathematics subject classification: Primary 34L20. Secondary 74J99; 78M35

Keywords

Bloch wavesdensity of statesasymptotics
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 48 , Issue 1 , February 2005 , pp. 51 - 60
Copyright
Copyright © Edinburgh Mathematical Society 2005