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Open Quantum Systems Decoherence
Quantum Simulation
Location of eigenvalues of non-self-adjoint discrete Dirac operators
arXiv
Authors: Biagio Cassano, Orif O. Ibrogimov, David Krejcirik, Frantisek Stampach
Year
2019
Paper ID
15356
Status
Preprint
Abstract Read
~2 min
Abstract Words
55
Citations
N/A
Abstract
We provide quantitative estimates on the location of eigenvalues of one-dimensional discrete Dirac operators with complex ellp-potentials for 1leq pleqinfty. As a corollary, subsets of the essential spectrum free of embedded eigenvalues are determined for small ell1-potential. Further possible improvements and sharpness of the obtained spectral bounds are also discussed.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We provide quantitative estimates on the location of eigenvalues of one-dimensional discrete Dirac operators with complex ell^p-potentials for 1leq pleqinfty.
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