# [Equality cases in the sharp one-dimensional matrix Lieb–Thirring inequality](sharp-one-dimensional-lieb-thirring-inequalities-matrix-potentials.pdf)

**Author:** OpenAI

**Date:** October 5, 2026

## Citation

```bibtex
@misc{OAI:Equality-cases-in-the-sharp-one-dimensional-matrix-Lieb-Thirring-inequality-October-5-2026,
  author = {{OpenAI}},
  title = {{Equality cases in the sharp one-dimensional matrix Lieb--Thirring inequality}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Equality-cases-in-the-sharp-one-dimensional-matrix-Lieb-Thirring-inequality-October-5-2026/sharp-one-dimensional-lieb-thirring-inequalities-matrix-potentials.pdf}{OAI:Equality-cases-in-the-sharp-one-dimensional-matrix-Lieb-Thirring-inequality-October-5-2026}},
  year = {2026}
}
```