# Direct methods to Lieb-Thirring kinetic inequalities

@inproceedings{Nam2020DirectMT, title={Direct methods to Lieb-Thirring kinetic inequalities}, author={Phan Th{\`a}nh Nam}, year={2020} }

We review some recent progress on Lieb-Thirring inequalities, focusing on direct methods to kinetic estimates for orthonormal functions and applications for many-body quantum systems.

## 4 Citations

### A Lieb-Thirring inequality for extended anyons

- Physics, Mathematics
- 2022

. 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…

### A proof of the Lieb-Thirring inequality via the Besicovitch covering lemma

- Mathematics
- 2022

. We give a proof of the Lieb–Thirring inequality on the kinetic energy of orthonormal functions by using a microlocal technique, in which the uncertainty and exclusion principles are combined…

### Mathematical Elements of Density Functional Theory

- Physics
- 2022

We review some of the basic mathematical results about density functional theory.

### The state of the Lieb--Thirring conjecture

- Physics
- 2022

Estimates on the bound states of a Hamiltonian are of importance in quantum mechanics. For a Schrödinger operator −∆ + V on L(R) with decaying potential V : R → R of particular interest are bounds on…

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