On an effective equation of the reduced Hartree-Fock theory

被引：0
|
作者：
Chenn, Ilias [2 ]
Mayboroda, Svitlana [1 ]
Wang, Wei [1 ]
Zhang, Shiwen [3 ]
机构：
[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA
[2] MIT, Dept Math, Cambridge, MA 02139 USA
[3] Univ Massachusetts, Dept Math Sci, Lowell, MA 01854 USA
来源：
ADVANCED NONLINEAR STUDIES | 2023年 / 23卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
landscape theory; reduced Hartree-Fock equation; semi-conductor model; IONIZATION CONJECTURE; ELECTRON-DENSITIES; FUNCTIONALS; MODELS;
D O I：
10.1515/ans-2022-0070
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that there is a one-to-one correspondence between solutions to the Poisson-landscape equations and the reduced Hartree-Fock equations in the semi-classical limit at low temperature. Moreover, we prove that the difference between the two corresponding solutions is small by providing explicit estimates.
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页数：41
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