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On the Efimov Effect for Four Particles in Dimension Two
Jonathan Rau, Marvin R. Schulz·February 5, 2026
Mathematical PhysicsQuantum Physics
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Abstract
We prove that the Schrödinger 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.