On a conjectured property of the witten index and an application to levinson’s theorem

Carey, Alan; Levitina, Galina

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On a conjectured property of the witten index and an application to levinson’s theorem

Date

2024

Authors

Carey, Alan

Levitina, Galina

Abstract

A few years ago Fritz Gesztesy raised the issue of whether there was a composition rule for the Witten index analogous to that satisfied by Fredholm operators. In this note we prove a result in this direction and provide an application to Levinson’s theorem.

Keywords

Levinson’s theorem, Trace formulas, Witten index

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http://www.scopus.com/inward/record.url?scp=85208428356&partnerID=8YFLogxK
https://hdl.handle.net/1885/733751632

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ANU Research Publications

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Pure and Applied Functional Analysis

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Journal article

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On a conjectured property of the witten index and an application to levinson’s theorem

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