零边界条件下一维弱相互作用Bose气体的色散律
量子气体
2024-08-06 v5
摘要
从含时Gross方程出发，我们找到了具有非点状原子间势和零边界条件的一维弱相互作用Bose气体的准粒子色散律。结果与周期边界条件下的色散律一致，即Bogolyubov定律E_B(k)=√((ħ²k²/(2m))² + n₀ν(k)ħ²k²/m)。在周期边界条件下，色散律可以很容易地从Gross方程推导出来。然而，对于零边界条件，分析并不那么简单。
引用
@article{arxiv.1211.1723,
title = {Dispersion law for a one-dimensional weakly interacting Bose gas with zero boundary conditions},
author = {Maksim Tomchenko},
journal= {arXiv preprint arXiv:1211.1723},
year = {2024}
}
备注
16 pages, 3 figures, v4: second solution removed as being unphysical, title modified, paper revised; v5: minor changes