3 citations · 3 across the 3 of their papers we have counts for
3 papers
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…
math.SP2023
Levinson's theorem for two-dimensional scattering systems: it was a surprise, it is now topological!
A. Alexander, D. T. Nguyen, A. Rennie +1
We prove a general Levinson's theorem for Schrödinger operators in two dimensions with threshold obstructions at zero energy. Our results confirm and simplify earlier seminal resul…
math-ph1999★ 3 cited
Commutative Geometries are Spin Manifolds
A. Rennie
In [1], Connes presented axioms governing noncommutative geometry. He went on to claim that when specialised to the commutative case, these axioms recover spin or spin^c geometry d…