Publication details

Lieb-Thirring inequality with semiclassical constant and gradient error term

Authors

NAM Phan Thanh

Year of publication 2018
Type Article in Periodical
Magazine / Source JOURNAL OF FUNCTIONAL ANALYSIS
MU Faculty or unit

Faculty of Science

Citation
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.

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