4 citations · 4 across the 4 of their papers we have counts for
4 papers
Analytic spectral flow formula for unitaries and Levinson's theorem
A. Alexander, A. Carey, G. Levitina +1
We prove an integral formula for the spectral flow of differentiable loops of unitaries of the form Schatten. Our formula is in terms of a regularised winding number, ex…
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…
The structure of the wave operators in four dimensions in the presence of resonances
Angus Alexander, Adam Rennie
We show that the wave operators for Schrödinger scattering in have a particular form which depends on the existence of resonances. As a consequence of this form, we…
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…