We provide quantitative estimates on the location of eigenvalues of one-dimensional discrete Dirac operators with complex ℓp-potentials for 1 ≤ p≤ ∞. As a corollary, subsets of the essential spectrum free of embedded eigenvalues are determined for small ℓ1-potential. Further possible improvements and sharpness of the obtained spectral bounds are also discussed.
Location of Eigenvalues of Non-self-adjoint Discrete Dirac Operators
Cassano B.;
2020-01-01
Abstract
We provide quantitative estimates on the location of eigenvalues of one-dimensional discrete Dirac operators with complex ℓp-potentials for 1 ≤ p≤ ∞. As a corollary, subsets of the essential spectrum free of embedded eigenvalues are determined for small ℓ1-potential. Further possible improvements and sharpness of the obtained spectral bounds are also discussed.File in questo prodotto:
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