Spectral and scattering theory for the Aharonov-Bohm operators
K. Pankrashkin, S. Richard
TL;DR
This paper reviews the spectral and scattering theory for Aharonov-Bohm operators on R^2, providing new formulas for wave and scattering operators and analyzing their asymptotic behavior at different energy levels.
Contribution
It introduces novel formulas for wave and scattering operators in the Aharonov-Bohm model and details their asymptotic properties at high and low energies.
Findings
New formulas for wave operators
New formulas for scattering operators
Asymptotic analysis at high and low energies
Abstract
We review the spectral and the scattering theory for the Aharonov-Bohm model on R^2. New formulae for the wave operators and for the scattering operator are presented. The asymptotics at high and at low energy of the scattering operator are computed.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsSpectral Theory in Mathematical Physics · Numerical methods in inverse problems · Quantum Mechanics and Non-Hermitian Physics