 00303 Elliott H. Lieb and Jan Philip Solovej
 Ground State Energy of the OneComponent Charged Bose Gas
(114K, latex)
Jul 26, 00

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Abstract. The model considered here is the `jellium' model in which there is
a uniform, fixed background with charge density $e\rho$ in a large
volume $V$ and in which $N=\rho V$ particles of electric charge $+e$
and mass $m$ move  the whole system being neutral. In 1961 Foldy
used Bogolubov's 1947 method to investigate the ground state energy of
this system for bosonic particles in the large $\rho$ limit. He found
that the energy per particle is $0.402 \, r_s^{3/4} {me^4}/{\hbar^2}$
in this limit, where $r_s=(3/4\pi \rho)^{1/3}e^2m/\hbar^2$. Here we
prove that this formula is correct, thereby validating, for the first
time, at least one aspect of Bogolubov's pairing theory of the Bose gas.
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