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On the Titchmarsh-Weyl M(λ)-coefficient and spectral density for a Dirac system
Published online by Cambridge University Press: 14 November 2011
Synopsis
For a Dirac system on the line, we study the Jost solutions and the existence of half-bound states. A characterisation of this phenomenon is given in terms of the M(λ)-function, which supplements a well-known spectral characterisation for the system. As a corollary, we deduce the spectral density behaviour at the spectral gap endpoints, which is shown to depend on the possible existence of half-bound states.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 114 , Issue 3-4 , 1990 , pp. 259 - 277
- Copyright
- Copyright © Royal Society of Edinburgh 1990
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