Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
1997-12-12
Phys. Rev. Lett. 80 (1998) 2504-2507
Physics
Condensed Matter
Soft Condensed Matter
4 pages, Revtex, reference 12 changed
Scientific paper
10.1103/PhysRevLett.80.2504
Now that the properties of low temperature Bose gases at low density, $\rho$, can be examined experimentally it is appropriate to revisit some of the formulas deduced by many authors 4-5 decades ago. One of these is that the leading term in the energy/particle is $2\pi \hbar^2 \rho a/m$, where $a$ is the scattering length. Owing to the delicate and peculiar nature of bosonic correlations, four decades of research have failed to establish this plausible formula rigorously. The only known lower bound for the energy was found by Dyson in 1957, but it was 14 times too small. The correct bound is proved here.
Lieb Elliott H.
Yngvason Jakob
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