A simple approach to Lieb–Thirring type inequalities
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In [10] Nam proved a Lieb–Thirring Inequality for the kinetic energy of a fermionic quantum system, with almost optimal (semi-classical) constant and a gradient correction term. We present a stronger version of this inequality, with a much simplified proof. As a corollary we obtain a simple proof of the original Lieb–Thirring inequality.
| Originalsprog | Engelsk |
|---|---|
| Artikelnummer | 110129 |
| Tidsskrift | Journal of Functional Analysis |
| Vol/bind | 285 |
| Udgave nummer | 10 |
| ISSN | 0022-1236 |
| DOI | |
| Status | Udgivet - 2023 |
Bibliografisk note
Funding Information:
J.P.S. thanks the Institute of Science and Technology Austria for the hospitality and support during a visit where this work was done. J.P.S. was also partially supported by the VILLUM Centre of Excellence for the Mathematics of Quantum Theory (QMATH) (grant No. 10059 ).
Funding Information:
J.P.S. thanks the Institute of Science and Technology Austria for the hospitality and support during a visit where this work was done. J.P.S. was also partially supported by the VILLUM Centre of Excellence for the Mathematics of Quantum Theory (QMATH) (grant No. 10059).
Publisher Copyright:
© 2023 The Author(s)
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