TY - JOUR
T1 - A number-theoretic estimate for the Thomas-Fermi density
AU - Córdoba, Antonio
AU - Fefferman, Charles L.
AU - Seco, Luis A.
PY - 1996
Y1 - 1996
N2 - 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.
AB - 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.
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U2 - 10.1080/03605309608821218
DO - 10.1080/03605309608821218
M3 - Article
AN - SCOPUS:0039568650
VL - 21
SP - 1087
EP - 1102
JO - Communications in Partial Differential Equations
JF - Communications in Partial Differential Equations
SN - 0360-5302
IS - 7-8
ER -