Solitons in normal Fermi liquid
Solitons in normal Fermi liquid
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普通费米液体中的孤子
DOI：
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发表时间：
2019
期刊：
影响因子：
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通讯作者：
N. Tsintsadze
中科院分区：
文献类型：
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作者：
G. Peradze;N. Tsintsadze
在N.L. Tsintsadze和L.N. Tsintsadze最近导出的新的费米粒子量子动力学方程的基础上，导出了一个几乎理想费米气体的一般量子色散方程，并对一些有趣的情况进行了研究。这里我们只考虑粒子间的对相互作用，并使用普通微扰理论中由V.M. Galitski导出的只涉及散射振幅的能量表达式。我们发现的新效应是动力学方程中的新量子项（马德隆项）导致中性费米液体中稀疏孤立波的形成。粒子间的引力和斥力有改变稀疏孤子速度和形状的趋势：粒子间的引力增大了稀疏孤子速度和振幅，斥力减小了稀疏孤子速度和振幅。
To be based on the new quantum kinetic equation of Fermi particles, which recently was derived by N.L. Tsintsadze and L.N. Tsintsadze, a general quantum dispersion equation for almost ideal Fermi gas is derived and studied for some interesting cases. Here we consider only pair interactions between particles and we used energy expression derived by V.M. Galitski in the ordinary perturbation theory, which involves only the scattering amplitude. New effect that we have shown is that novel quantum term (Madelung term) in the kinetic equation leads to the formation of rarefaction solitary waves in neutral Fermi liquid. Furthermore, attraction and repulsion between particles have tendency to change rarefaction solitary wave speed and shape: Attraction between particles increases rarefaction soliton speed and amplitude, repulsion decreases soliton speed and amplitude.