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The ground state energy of dilute Bose gas in potentials with positive scattering length

Jun Yin University of Wisconsin-Madison

Mathematical Physics mathscidoc:1608.22012

Communications in Mathematical Physics, 295, (1), 1-27, 2010
The leading term of the ground state energy/particle of a dilute gas of bosons with mass m in the thermodynamic limit is $ 2\pi \hbar^2 a \varrho/m$ when the density of the gas is $ \varrho$, the interaction potential is non-negative and the scattering length $a$ is positive. In this paper, we generalize the upper bound part of this result to any interaction potential with positive scattering length, i.e, $a > 0$ and the lower bound part to some interaction potentials with shallow and/or narrow negative parts.
Bose gas, ground state energ
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@inproceedings{jun2010the,
  title={The ground state energy of dilute Bose gas in potentials with positive scattering length},
  author={Jun Yin},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160823234232910041422},
  booktitle={Communications in Mathematical Physics},
  volume={295},
  number={1},
  pages={1-27},
  year={2010},
}
Jun Yin. The ground state energy of dilute Bose gas in potentials with positive scattering length. 2010. Vol. 295. In Communications in Mathematical Physics. pp.1-27. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160823234232910041422.
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