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Resonance index and singular mu-invariant

Azamov, Nurulla...

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Resonance index and singular mu-invariant by Azamov, Nurulla ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	07-09-2023
Summary	With the essential spectrum of a self-adjoint operator given a relatively trace class perturbation one can associate an integer-valued invariant which admits different descriptions as the singular spectral shift function, total resonance index, and singular $\mu$-invariant. In this paper we give a direct proof of the equality of the total resonance index and singular $\mu$-invariant assuming only the limiting absorption principle. The proof is based on an application of the argument principle to the poles and zeros of the analytic continuation of the scattering matrix considered as a function of the coupling parameter.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1501.07673

Citation

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AMA 11th EditionReferences

Azamov, Nurulla. Resonance index and singular mu-invariant. Australian National University. September 07, 2023. Accessed November 02, 2024. https://online.provdatabase.com/cite/24318

APA 7th EditionReferences

Azamov, Nurulla. (2023). Resonance index and singular mu-invariant. Australian National University. https://online.provdatabase.com/cite/24318

Chicago 17th EditionReferences

Azamov, Nurulla. Resonance index and singular mu-invariant. Australian National University. 2023. https://online.provdatabase.com/cite/24318

HarvardReferences

Azamov, Nurulla. (2023). Resonance index and singular mu-invariant. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/24318. (Accessed 02 November 2024).

Harvard AustraliaReferences

Azamov, Nurulla, 2023, Resonance index and singular mu-invariant, Australian National University, viewed 02 November 2024, <https://online.provdatabase.com/cite/24318>

MLA 9th EditionWorks Cited

Azamov, Nurulla. Resonance index and singular mu-invariant. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/24318.

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