A Note on the Asymptotic and Threshold Behaviour of Discrete Eigenvalues inside the Spectral Gaps of the Difference Operator with a Periodic Potential
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-02-22
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
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 m-function theory as well as the Birman-Schwinger principle is performed to investigate the existence and behaviour of the eigenvalues of the operator H0+λWn inside the spectral gap of H0 in the limits λ↑∞ and λ↓0.
American Psychological Association (APA)
Muchatibaya, G.& Mushanyu, J.. 2018. A Note on the Asymptotic and Threshold Behaviour of Discrete Eigenvalues inside the Spectral Gaps of the Difference Operator with a Periodic Potential. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-5.
https://search.emarefa.net/detail/BIM-1119167
Modern Language Association (MLA)
Muchatibaya, G.& Mushanyu, J.. A Note on the Asymptotic and Threshold Behaviour of Discrete Eigenvalues inside the Spectral Gaps of the Difference Operator with a Periodic Potential. Advances in Mathematical Physics No. 2018 (2018), pp.1-5.
https://search.emarefa.net/detail/BIM-1119167
American Medical Association (AMA)
Muchatibaya, G.& Mushanyu, J.. A Note on the Asymptotic and Threshold Behaviour of Discrete Eigenvalues inside the Spectral Gaps of the Difference Operator with a Periodic Potential. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-5.
https://search.emarefa.net/detail/BIM-1119167
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119167
