Publication details
Lieb-Thirring inequality with semiclassical constant and gradient error term
| Authors | |
|---|---|
| Year of publication | 2018 |
| Type | Article in Periodical |
| Magazine / Source | JOURNAL OF FUNCTIONAL ANALYSIS |
| MU Faculty or unit | |
| Citation | |
| Web | http://dx.doi.org/10.1016/j.jfa.2017.08.007 |
| Doi | http://dx.doi.org/10.1016/j.jfa.2017.08.007 |
| Keywords | Lieb-Thirring inequality; Semiclassical approximation; Sharp constant; Gradient error |
| Description | 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. |