Spectral analysis of Dirac operators under integral conditions on the potential

We show that the absolutely continuous part of the spectral function of the one-dimensional Dirac operator on a half-line with a constant mass term and a real, square-integrable potential is strictly increasing throughout the essential spectrum (-∞,-1]U[1,∞). The proof is based on estimates for the...

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Bibliographic Details
Main Author: Hughes, Daniel Gordon John
Published: Cardiff University 2012
Subjects:
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.567489