A Proof of the Lieb–Thirring Inequality via the Besicovitch Covering Lemma
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 through the use of the Besicovitch covering lemma.
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Published in | Acta mathematica vietnamica Vol. 48; no. 1; pp. 75 - 81 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Singapore
Springer Nature Singapore
01.04.2023
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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Summary: | 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 through the use of the Besicovitch covering lemma. |
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ISSN: | 0251-4184 2315-4144 |
DOI: | 10.1007/s40306-022-00490-1 |