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On the absolutely continuous spectrum of a vector-matrix Dirac system
Published online by Cambridge University Press: 14 November 2011
Abstract
A Dirac system is considered which has a matrix-valued long-range, short-range and oscillatory potentials. The system has one singular endpoint at infinity. Additional conditions on the potential are given which guarantee particular asymptotic behaviour of an energy functional associated with a certain set of solutions. This asymptotic behaviour guarantees the existence of a purely absolutely continuous spectrum outside a gap containing the origin.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 124 , Issue 2 , 1994 , pp. 253 - 262
- Copyright
- Copyright © Royal Society of Edinburgh 1994
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