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arXiv · 2502.06724

Dimer problem on a spherical surface

A. Tononi·D. S. Petrov·M. Lewenstein
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Abstract

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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A. Tononi, D. S. Petrov, M. Lewenstein. 2025-02-10. Dimer problem on a spherical surface. https://doi.org/10.1103/physreva.111.l051304

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