Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896740 | Journal of Functional Analysis | 2018 | 8 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Phan Thà nh Nam,