 99401 Elliott H. Lieb, Jakob Yngvason
 The Ground State Energy of a Dilute Bose Gas
(40K, Latex2e)
Oct 20, 99

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Abstract. According to a formula that was put forward many decades ago
the ground state energy per particle of an interacting, dilute Bose
gas at density $\rho$ is $2\pi\hbar^2\rho a/m$ to leading order in
$\rho a^3\ll 1$, where $a$ is the scattering length of the interaction
potential and $m$ the particle mass. This result, which is important
for the theoretical description of current experiments on
BoseEinstein condensation, has recently been established rigorously
for the first time. We give here an account of the proof that
applies to nonnegative, spherically symmetric potentials decreasing
faster than $1/r^3$ at infinity.
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