In this paper we obtain an estimate for the Thomas-Fermi density which plays a role in the analysis of the atomic energy asymptotics. Such estimate has obvious number-theoretic features related to the radial symmetry of a certain Schrödinger operator, and we use number-theoretic methods in our proof. From the technical viewpoint, we also simplify and improve some of the original estimates in the proof of the Dirac-Schwinger correction to the atomic energy asymptotics.
|Original language||English (US)|
|Number of pages||16|
|Journal||Communications in Partial Differential Equations|
|State||Published - 1996|
All Science Journal Classification (ASJC) codes
- Applied Mathematics