Chern-Simons matrix model: Coherent states and relation to Laughlin wave functions
Chern-Simons matrix model: Coherent states and relation to Laughlin wave functions
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DOI：
10.1103/physrevb.64.245316
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发表时间：
2001-06
影响因子：
3.7
通讯作者：
D. Karabali;B. Sakita
中科院分区：
文献类型：
--
作者：
D. Karabali;B. Sakita
收到2001年6月11日；利用相干状态表示，我们导出了Polychronakos提出的chen - simons矩阵模型的多体概率分布和波函数，并将其与Laughlin模型进行了比较。我们分析了两种不同的相干态表示，对应于电子坐标基的不同选择。在这两种情况下，我们发现所得的概率分布与劳克林分布并不完全一致。人们对远距离行为的看法是一致的，但对短距离行为的看法是不同的。
Received 11 June 2001; published 4 December 2001) Using a coherent state representation we derive many-body probability distributions and wave functions for the Chern-Simons matrix model proposed by Polychronakos and compare them to the Laughlin ones. We analyze two different coherent state representations, corresponding to different choices for electron coordinate bases. In both cases we find that the resulting probability distributions do not quite agree with the Laughlin ones. There is agreement on the long distance behavior, but the short distance behavior is different.