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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])
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Abstract

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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