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arXiv · 1806.07600

The three-body pseudo-potential for atoms confined in one dimension

Ludovic Pricoupenko
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Abstract

Following a strong analogy with two-dimensional physics, the three-body pseudo-potential in one dimension is derived. The Born approximation is then considered in the context of ultracold atoms in a linear harmonic waveguide. In the vicinity of the dimer threshold a direct connection is made between the zero-range potential and the dimensional reduction of the three-body Schr{\"o}dinger equation.

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Ludovic Pricoupenko. 2018-06-20. The three-body pseudo-potential for atoms confined in one dimension. https://doi.org/10.1103/physreva.99.012711

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