On the Bifurcation of Thresholds of the Essential Spectrum with a Spectral Singularity
Author:
Publisher
Pleiades Publishing Ltd
Subject
General Mathematics,Analysis
Link
https://link.springer.com/content/pdf/10.1134/S0012266123020118.pdf
Reference13 articles.
1. Guseinov, G.Sh., On the concept of spectral singularities, Pramana–J. Phys., 2009, vol. 73, no. 3, pp. 587–603.
2. Borisov, D.I., Zezyulin, D.A., and Znojil, M., Bifurcations of thresholds in essential spectra of elliptic operators under localized non-Hermitian perturbations, Stud. Appl. Math., 2021, vol. 146, no. 4, pp. 834–880.
3. Borisov, D.I. and Zezyulin, D.A., Bifurcations of essential spectra generated by a small non-Hermitian hole. I. Meromorphic continuations, Russ. J. Math. Phys., 2021, vol. 28, no. 4, pp. 416–433.
4. Borisov, D.I. and Zezyulin, D.A., Bifurcations of essential spectra generated by a small non-Hermitian small hole. II. Eigenvalues and resonances, Russ. J. Math. Phys., 2022, vol. 29, no. 3, pp. 321–341.
5. Nazarov, S.A., The preservation of threshold resonances and the splitting off of eigenvalues from the threshold of the continuous spectrum of quantum waveguides, Sb. Math., 2021, vol. 212, no. 7, pp. 965–1000.
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1. On Perturbation of Thresholds in Essential Spectrum under Coexistence of Virtual Level and Spectral Singularity;Russian Journal of Mathematical Physics;2024-03
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