2 papers
cond-mat.quant-gas2025
Nonlinear Landau levels in the almost-bosonic anyon gas
Alireza Ataei, Ask Ellingsen, Filippa Getzner +3
We consider the quantitative description of a many-particle gas of interacting abelian anyons in the plane, confined in a trapping potential. If the anyons are modeled as bosons wi…
math.AP2024
A generalized Liouville equation and magnetic stability
Alireza Ataei, Douglas Lundholm, Dinh-Thi Nguyen
This work considers two related families of nonlinear and nonlocal problems in the plane . The first main result derives the general integrable solution to a generali…