We solve the problem of a dimer moving on a spherical surface and find that its binding energy and wave function are sensitive to the total angular momentum. The dimer gets squeezed in the direction orthogonal to the center-of-mass motion and can qualitatively change its geometry from two dimensional to one dimensional. These results suggest that combining the curved geometry with finite angular momentum may give rise to qualitatively new many-body phenomena in ultracold shell-shaped gases.

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• Atomic & molecular clusters
• Bose-Einstein condensates
• Cold and ultracold molecules
• Cold atoms & matter waves
• Molecular spectra
• Rotational states
• Scattering theory
• Atomic gases
• Molecules
• Ultracold gases
• Exact solutions for many-body systems
• Schroedinger equation