On the a.c. spectrum of 1D discrete Dirac operatorReport as inadecuate

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1 IMB - Institut de Mathématiques de Bordeaux 2 ENS Cachan Bretagne - École normale supérieure - Cachan, antenne de Bretagne

Abstract : In this paper, under some integrability condition, we prove that an electrical perturbation of the discrete Dirac operator has purely absolutely continuous spectrum for the one dimensional case. We reduce the problem to a non-self-adjoint Laplacian-like operator by using a spin up-down decomposition and rely on a transfermatrices technique.

keyword : discrete Dirac ac spectrum 1-dimensional jacobi matrix

Author: Sylvain Golenia - Tristan Haugomat -

Source: https://hal.archives-ouvertes.fr/


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