Abstract
We carry out a comprehensive study of the binding of two helium atoms in unrestricted and, in particular, in restricted geometries in both two and three dimensions. Besides the well known binding of the 4 He dimer in unrestricted geometry in two and three dimensions, we also find weakly bound states of the 3 He- 4 He molecule and the 3 He dimer in 2 dimensions. Furthermore, any combination of two 4 He or 3 He atoms can form a molecule if their motion is sufficiently confined. Our calculations are carried out by numerically solving the Schrödinger equation as well as by constructing a suitable variational wave function.
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Kilić, S., Krotscheck, E. & Zillich, R. Binding of Two Helium Atoms in Confined Geometries. Journal of Low Temperature Physics 116, 245–260 (1999). https://doi.org/10.1023/A:1021841802086
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DOI: https://doi.org/10.1023/A:1021841802086