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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
Abstract
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
- 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