论文标题

扩展的人

A Lieb-Thirring inequality for extended anyons

论文作者

Girardot, Théotime, Rougerie, Nicolas

论文摘要

我们为任何正半径和任何非平凡统计参数的扩展基于费米亚的人提供了Pauli排除原则。也就是说,我们考虑了耦合到非零半径的磁通管的2D费米颗粒,并证明对相应的多体动能算子证明了lieb-thir-thir-thir-thirrighation。隐含常数与通量管的半径无关,并且与统计参数成正比。

We derive a Pauli exclusion principle for extended fermion-based anyons of any positive radius and any non-trivial statistics parameter. That is, we consider 2D fermionic particles coupled to magnetic flux tubes of non-zero radius, and prove a Lieb-Thirring inequality for the corresponding many-body kinetic energy operator. The implied constant is independent of the radius of the flux tubes, and proportional to the statistics parameter.

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