2 papers
math-ph2025
Topological Levinson's theorem and corrections at thresholds: the full picture in a quasi-1D example
T. T. Nguyen, D. Parra, S. Richard
Various threshold effects are investigated on a discrete quasi-1D scattering system. In particular, one of these effects is to add corrections to Levinson's theorem. We explain how…
math-ph2024
Topological Levinson's theorem in presence of embedded thresholds and discontinuities of the scattering matrix
V. Austen, D. Parra, A. Rennie +1
A family of discrete Schroedinger operators is investigated through scattering theory. The continuous spectrum of these operators exhibit changes of multiplicity, and some of these…