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arXiv · 0803.0533

Ground State Energy of Dilute Bose Gas in Small Negative Potential Case

Ji Oon Lee
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Abstract

It is well known that the ground state energy of a three dimensional dilute Bose gas in the thermodynamic limit is $E=4πa ρN$ when the particles interact via a non-negative, finite range, symmetric, two-body potential. Here, $N$ is the number of particles, $ρ$ is the density of the gas, and $a$ is the scattering length of the potential. In this paper, we prove the same result without the non-negativity condition on the potential, provided the negative part is small.

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Ji Oon Lee. 2009-11-01. Ground State Energy of Dilute Bose Gas in Small Negative Potential Case. https://arxiv.org/abs/0803.0533

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