The Lieb–Thirring Inequality for Interacting Systems in Strong-Coupling Limit

  title={The Lieb–Thirring Inequality for Interacting Systems in Strong-Coupling Limit},
  author={Kevin K{\"o}gler and Phan Th{\`a}nh Nam},
  journal={arXiv: Mathematical Physics},
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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