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.

引用

页数：41

共 50 条

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IVANOVA, EP
SAFRONOV.UI
OPTIKA I SPEKTROSKOPIYA, 1972, 33 (04): : 601 - &
[2] DETERMINATION OF THE EFFECTIVE LAGRANGIAN IN THE RELATIVISTIC HARTREE-FOCK THEORY
JETTER, M
WEBER, F
WEIGEL, MK
EUROPHYSICS LETTERS, 1991, 14 (07): : 633 - 638
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DATTA, SN
PRAMANA, 1980, 15 (01) : 65 - 73
[4] Projected Hartree-Fock theory
Jimenez-Hoyos, Carlos A.
Henderson, Thomas M.
Tsuchimochi, Takashi
Scuseria, Gustavo E.
JOURNAL OF CHEMICAL PHYSICS, 2012, 136 (16):
[5] ON RELATIVISTIC HARTREE-FOCK THEORY
ROSICKY, F
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1982, 15 (09) : L305 - L308
[6] Projected Hartree-Fock theory
Scuseria, Gustavo E.
ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 2012, 244
[7] ON PERTURBATION THEORY FOR HARTREE AND HARTREE-FOCK HAMILTONIANS
SHARMA, CS
JOURNAL OF PHYSICS PART B ATOMIC AND MOLECULAR PHYSICS, 1968, 1 (06): : 1016 - &
[8] MAGNETIC EFFECTS AND THE HARTREE-FOCK EQUATION
SLATER, JC
PHYSICAL REVIEW, 1951, 82 (04): : 538 - 541
[9] HARTREE-FOCK DENSITY MATRIX EQUATION
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FRISHBERG, C
JOURNAL OF CHEMICAL PHYSICS, 1976, 65 (10): : 4234 - 4238
[10] EFFECTIVE INTERACTIONS FOR HARTREE-FOCK CALCULATIONS
BRINK, DM
BOEKER, E
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