On the Efimov Effect for Four Particles in Dimension Two
Mathematical Physics
2026-02-06 v1 math.MP
Quantum Physics
Abstract
We prove that the Schr\"odinger operator describing four particles in two dimensions, interacting solely through short-range three-body forces, can possess infinitely many bound states. This holds under the assumption that each three-body subsystem has a virtual level at zero energy. Our result establishes an analog of the Efimov effect for such four-particle systems in two dimensions.
Cite
@article{arxiv.2602.05942,
title = {On the Efimov Effect for Four Particles in Dimension Two},
author = {Jonathan Rau and Marvin R. Schulz},
journal= {arXiv preprint arXiv:2602.05942},
year = {2026}
}
Comments
58 pages and three figures