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Discrete spectrum of perturbed Dirac systems with real and periodic coefficients

Published online by Cambridge University Press:  14 November 2011

Boris Buffoni
Boris Buffoni
Affiliation:
Département de Mathématiques, Ecole Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland
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Synopsis

This paper deals with the number of eigenvalues which appear in the gaps of the spectrum of a Dirac system with real and periodic coefficients when the coefficients are perturbed. The main results provide an upper bound and a condition under which exactly one eigenvalue appears in a given gap.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 115 , Issue 3-4 , 1990 , pp. 337 - 347
Copyright
Copyright © Royal Society of Edinburgh 1990

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References

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