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Quantum State Preparation Representation

On the Efimov Effect for Four Particles in Dimension Two

arXiv
Authors: Jonathan Rau, Marvin R. Schulz

Year

2026

Paper ID

2783

Status

Preprint

Abstract Read

~2 min

Abstract Words

57

Citations

N/A

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.

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  • 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...

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