超流性是玻色-爱因斯坦凝聚宏观量子效应的重要体现,分别用运动方程法和哈密顿量对角化方法,通过傅里叶变换导出了玻色-爱因斯坦凝聚超流体的色散关系,并给出了凝聚体中声子速度的表达式。结果表明,在长波极限下,色散关系与波数近似成线性关系。
The superfluidity is an important property of macroscopic quantum effect in Bose Einstein Condensates. In this paper, we obtain the dispersion relation in Bose-Einstein Condensates by way of Fourier transformation and by means of two methods of both equation of motion and diagonalization Hamiltonian of the system respectively and we present the expression of quantum velocity in eondensates. The results show that the dispersion relation is linearly proportional to the wave number under long wavelength limit.