A Note on the Asymptotic and Threshold Behaviour of Discrete Eigenvalues inside the Spectral Gaps of the Difference Operator with a Periodic Potential

Gift Muchatibaya and Josiah Mushanyu

Advances in Mathematical Physics, 2018, vol. 2018, 1-5

Abstract:

The asymptotic and threshold behaviour of the eigenvalues of a perturbed difference operator inside a spectral gap is investigated. In particular, applications of the Titchmarsh-Weyl -function theory as well as the Birman-Schwinger principle is performed to investigate the existence and behaviour of the eigenvalues of the operator inside the spectral gap of in the limits and

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:4696790

DOI: 10.1155/2018/4696790

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