Applications of the Collective Field Theory for the Calogero–Sutherland Model☆
Applications of the Collective Field Theory for the Calogero–Sutherland Model☆
复制标题
集体场论在Calogero-Sutherland模型中的应用☆
DOI：
10.1006/aphy.1997.5728
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发表时间：
1997
影响因子：
3
通讯作者：
R. K. Bhaduri
中科院分区：
文献类型：
--
作者：
D. Sen;R. K. Bhaduri
我们使用以Calogero-Sutherland模型而闻名的集体场理论来研究各种低能性质。其中包括粒子数两个前导数量级的禁闭势中的基态能量、声模的色散关系以及与低温比热中两个前导项的比较、大振幅波和单解。由声模的色散关系导出的两点关联函数仅正确地给出了它的非振荡渐近行为，说明该理论只适用于系统的低能和长波激励。
We use the collective field theory known for the Calogero-Sutherland model to study a variety of low-energy properties. These include the ground state energy in a confining potential up to the two leading orders in the particle number, the dispersion relation of sound modes with a comparison to the two leading terms in the low temperature specific heat, large amplitude waves, and single solution solutions. The two-point correlation function derived from the dispersion relation of the sound mode only gives its nonoscillatory asymptotic behavior correctly, demonstrating that the theory is applicable only for the low-energy and long wavelength excitations of the system.