Local Exclusion and Lieb-Thirring Inequalities for Intermediate and Fractional Statistics

Douglas Lundholm; Jan Philip Solovej

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Local Exclusion and Lieb-Thirring Inequalities for Intermediate and Fractional Statistics

机译：局部和分数统计的局部排斥和利勃-蒂伦不等式

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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.

机译：在一个和两个空间维度上，有一个逻辑上的可能性，即使用不同于中间或分数（任意）统计量的不同于玻色子和费米子的相同量子粒子。我们考虑在两个维度上对任何一个问题应用最近的李布-蒂林不等式，并在一维上导出中间统计的新李布-蒂林不等式，这对李布-利尼格和卡洛格罗-萨瑟兰类型的模型具有影响。这些不平等源自排除原则的局部形式，该原则对于此类广义交换统计有效。

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《Annales Henri Poincare》 |2014年第6期|共47页
作者
Douglas Lundholm; Jan Philip Solovej;
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正文语种 eng
中图分类理论物理学;
关键词
Local; Exclusion; Statistics;

机译：本地;排除;统计;

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1. Local Exclusion and Lieb-Thirring Inequalities for Intermediate and Fractional Statistics [J] . Douglas Lundholm, Jan Philip Solovej Annales Henri Poincare . 2014,第6期

机译：局部和分数统计的局部排斥和利勃-蒂伦不等式
2. Note on Lieb-Thirring Type Inequalities for a Complex Perturbation of Fractional Laplacian [J] . C. Dubuisson Journal of Mathematical Physics, Analysis, Geometry . 2015,第3期

机译：关于分数拉普拉斯算子的复摄动的Lieb-Thirring型不等式的注记
3. An ansatz for the exclusion statistics parameters in macroscopic physical systems described by fractional exclusion statistics [J] . Anghel D.-V. EPL . 2010,第1期

机译：分数排除统计量描述的宏观物理系统中排除统计参数的ansatz
4. A Subdividing of Local Fractional Integral Holder's Inequality on Fractal Space [C] . Guangsheng Chen International Conference on Applied Sciences, Engineering and Technology . 2014

机译：在分形空间上撒上局部分数整数持有人的不等式
5. Analysis of Nonlocal Equations: One-sided Weighted Fractional Sobolev Spaces and Harnack Inequality for Fractional Nondivergence Form Elliptic Equations [D] . ?Vaughan, Mary Colleen 2020

机译：非局部方程分析：片面加权分数索伯列夫空间和哈纳克不等式分数非散度型方程
6. Lyapunov-type inequalities for an anti-periodic fractional boundary value problem involving ψ-Caputo fractional derivative [O] . Bessem Samet, Hassen Aydi -1

机译：ψ-Caputo分数阶导数的反周期分数边值问题的Lyapunov型不等式
7. Local exclusion and Lieb-Thirring inequalities for intermediate and fractional statistics [O] . Lundholm, Douglas, Solovej, Jan Philip 2013

机译：中间和中间的局部排斥和Lieb-Thirring不等式分数统计

Local Exclusion and Lieb-Thirring Inequalities for Intermediate and Fractional Statistics

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