MathSciDoc: An Archive for Mathematician ∫

 
Log In
Sign Up
Help
Go
 

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
[ Download ] [ 2016-08-23 23:42:32 uploaded by yinjun ] [ 716 downloads ] [ 0 comments ] [ Cited by 6 ] 
@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.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved