Informace o publikaci
Lieb-Thirring inequality with semiclassical constant and gradient error term
| Autoři | |
|---|---|
| Rok publikování | 2018 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | JOURNAL OF FUNCTIONAL ANALYSIS |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | http://dx.doi.org/10.1016/j.jfa.2017.08.007 |
| Doi | http://dx.doi.org/10.1016/j.jfa.2017.08.007 |
| Klíčová slova | Lieb-Thirring inequality; Semiclassical approximation; Sharp constant; Gradient error |
| Popis | In 1975, Lieb and Thirring derived a semiclassical lower bound on the kinetic energy for fermions, which agrees with the Thomas-Fermi approximation up to a constant factor. Whenever the optimal constant in their bound coincides with the semiclassical one is a long-standing open question. We prove an improved bound with the semiclassical constant and a gradient error term which is of lower order. (C) 2017 Elsevier Inc. All rights reserved. |