A lower bound on the ground state energy of dilute Bose gas

Ji Oon Lee Harvard University Jun Yin University of Wisconsin-Madison

Mathematical Physics mathscidoc:1608.22013

Journal of Mathematical Physics, 51, 053302 , 2010
Consider an N-Boson system interacting via a two-body repulsive short-range potential $V$ in a three dimensional box  of side length $L$. We take the $limit N,L \to \infty $ while keeping the density $\rho = N/L^3 fixed and small. We prove a new lower bound for its ground state energy per particle $$ \frac{E(N,\Lambda)}{N} \ge 4 \pi a \rho [1- O(\rho^{1/3} | log \rho |^3) ] $$ as $\rho \to 0$, where $a$ is the scattering length of $V$.
ground state energy, Bose gas
[ Download ] [ 2016-08-23 23:56:40 uploaded by yinjun ] [ 718 downloads ] [ 0 comments ]
@inproceedings{ji2010a,
  title={A lower bound on the ground state energy of dilute Bose gas},
  author={Ji Oon Lee, and Jun Yin},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160823235640735371423},
  booktitle={Journal of Mathematical Physics},
  volume={51},
  pages={053302  },
  year={2010},
}
Ji Oon Lee, and Jun Yin. A lower bound on the ground state energy of dilute Bose gas. 2010. Vol. 51. In Journal of Mathematical Physics. pp.053302 . http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160823235640735371423.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved