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Ultracold atomic collisions in tight harmonic traps: Quantum-defect model and application to metastable helium atoms

Ultracold atomic collisions in tight harmonic traps: Quantum-defect model and application to metastable helium atoms

We analyze a system of two colliding ultracold atoms under strong harmonic confinement from the viewpoint of quantum defect theory and formulate a generalized self-consistent method for determining the allowed energies. We also present two highly efficient computational methods for determining the bound state energies and eigenfunctions of such systems. …