论文标题
在强耦合极限的相互作用系统的Lieb-Thrir-Thrir-Thrir-Thirrite不平等
The Lieb-Thirring inequality for interacting systems in strong-coupling limit
论文作者
论文摘要
我们考虑了具有均匀排斥相互作用势的量子系统的Lieb-thirrite不平等现象的类似物，但没有对波功能的反对称假设。我们表明，在强耦合极限中，lieb thirrin的常数会收敛于单体Gagliardo-Nirenberg插值不平等的最佳常数而没有相互作用。
We consider an analogue of the Lieb-Thirring inequality for quantum systems with homogeneous repulsive interaction potentials, but without the antisymmetry assumption on the wave functions. We show that in the strong-coupling limit, the Lieb-Thirring constant converges to the optimal constant of the one-body Gagliardo-Nirenberg interpolation inequality without interaction.
