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math.KT2024
Trace formula and Levinson's theorem as an index pairing in the presence of resonances
Angus Alexander
We realise the number of bound states of a Schrödinger operator on as an index pairing in all dimensions. Expanding on ideas of Guillopé and others, we use high-ener…
math.KT2023★ 4 cited
Levinson's theorem as an index pairing
Angus Alexander, Adam Rennie
We build on work of Kellendonk, Richard, Tiedra de Aldecoa and others to show that the wave operators for Schrödinger scattering theory on generically have a particu…