On the Absolutely Continuous Spectrum of a Vector-Matrix Dirac System
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.
S. L. Clark, "On the Absolutely Continuous Spectrum of a Vector-Matrix Dirac System," Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol. 124, no. 2, pp. 253-262, RSE Scotland Foundation, Mar 1994.
The definitive version is available at https://doi.org/10.1017/S0308210500028456
Mathematics and Statistics
International Standard Serial Number (ISSN)
Article - Journal
© 1994 RSE Scotland Foundation, All rights reserved.
01 Mar 1994