The Ground State Energy of a Dilute Bose Gas
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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 $ρ$ is $2π\hbar^2ρa/m$ to leading order in $ρa^3\ll 1$, 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 Bose-Einstein 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.
A few corrections to Eqs. 3.21 and 3.33--3.36 in the printed version have been made
A few corrections to Eqs. 3.21 and 3.33--3.36 in the printed version have been made
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Consulte el texto completo en el siguiente enlace:
https://arxiv.org/abs/math-ph/9910033
http://arxiv.org/abs/math-ph/9910033
Published in {\it Differential Equations and Mathematical Physics, University of Alabama, Birmingham, 1999}, R. Weikard and G. Weinstein, eds., 271-282 Amer. Math. Soc./Internat. Press (2000). eds., 271-282 Amer. Math. Soc./Internat. Press (2000)
http://arxiv.org/abs/math-ph/9910033
Published in {\it Differential Equations and Mathematical Physics, University of Alabama, Birmingham, 1999}, R. Weikard and G. Weinstein, eds., 271-282 Amer. Math. Soc./Internat. Press (2000). eds., 271-282 Amer. Math. Soc./Internat. Press (2000)