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arXiv · 2006.04729

The Lieb-Thirring inequality for interacting systems in strong-coupling limit

Kevin Kögler·Phan Thành Nam
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Abstract

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.

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Kevin Kögler, Phan Thành Nam. 2020-06-08. The Lieb-Thirring inequality for interacting systems in strong-coupling limit. https://doi.org/10.1007/s00205-021-01633-8

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