Ground State Energy of the Low Density Bose Gas

Details Ground State Energy of the Low Density Bose Gas Ground State Energy of the Low Density Bose Gas

1997-12-12

arxiv.org/abs/cond-mat/9712138v2

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.

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