Local Exclusion and Lieb-Thirring Inequalities for Intermediate and Fractional Statistics
Local Exclusion and Lieb-Thirring Inequalities for Intermediate and Fractional Statistics
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DOI：
10.1007/s00023-013-0273-5
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发表时间：
2014-06-01
影响因子：
1.5
通讯作者：
Solovej, Jan Philip
中科院分区：
文献类型：
--
作者：
Lundholm, Douglas;Solovej, Jan Philip
在一维和二维空间中，存在着不同于玻色子和费米子的相同量子粒子的逻辑可能性，它们服从中间或分数（任意子）统计。我们考虑应用最近的Lieb-Thirring不等式的任意子在两个维度，并推导出新的Lieb-Thirring不等式的中间统计在一维Lieb-Liniger和Calogero-Sutherland型模型的影响。这些不等式来自于对这种广义交换统计有效的不相容原理的局部形式。
In one and two spatial dimensions there is a logical possibility for identical quantum particles different from bosons and fermions, obeying intermediate or fractional (anyon) statistics. We consider applications of a recent Lieb-Thirring inequality for anyons in two dimensions, and derive new Lieb-Thirring inequalities for intermediate statistics in one dimension with implications for models of Lieb-Liniger and Calogero-Sutherland type. These inequalities follow from a local form of the exclusion principle valid for such generalized exchange statistics.