A. Alexander

activity

20232025

collaborators

Showing math-phShow all

2 papers · 1 filter

math-ph2025

Levinson's theorem for dissipative systems, or how to count the asymptotically disappearing states

A. Alexander, J. Faupin, S. Richard

We consider dissipative Schroedinger operators of the form $H = - Δ + V (x)$ on $L^{2} (R^{3})$ , with $V (x)$ a complex, bounded and decaying potential with a non-positive imaginary pa…

math-ph2024

Spectral flow and Levinson's theorem for Schrö dinger operators

Angus Alexander, Adam Rennie

We use spectral flow to present a new proof of Levinson's theorem for Schrödinger operators on $R^{n}$ with smooth compactly supported potential. Our proof is valid in all d…