ORBITALLY STABLE STATES IN GENERALIZED HARTREE-FOCK THEORY

被引：7

作者：

Dolbeault, Jean ^{[1
]}

Felmer, Patricio ^{[2
,3
]}

Lewin, Mathieu ^{[4
]}

机构：

[1] Univ Paris 09, CNRS, UMR Ceremade 7534, F-75775 Paris 16, France

[2] Univ Chile, Dept Ingn Matemat, Santiago, Chile

[3] Univ Chile, CNRS, Ctr Modelamiento Matemat, UMI 2807, Santiago, Chile

[4] Univ Cergy Pontoise, Dept Math, CNRS, UMR 8088, F-95302 Cergy Pontoise, France

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2009年 / 19卷 / 03期

关键词：

Compact self-adjoint operators; trace-class operators; mixed states; occupation numbers; Lieb-Thirring inequality; Schrodinger operator; asymptotic distribution of eigenvalues; free energy; temperature; entropy; Hartree-Fock model; self-consistent potential; orbital stability; nonlinear equation; loss of compactness; NONLINEAR STABILITY; 2-BODY INTERACTION; GALACTIC DYNAMICS; STELLAR DYNAMICS; COULOMB-SYSTEMS; STEADY-STATES; EQUATIONS; EXISTENCE; MOLECULES; ATOMS;

D O I：

10.1142/S0218202509003450

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to a generalized Hartree-Fock model in the Euclidean space. For large classes of free energy functionals, minimizers are obtained as long as the total charge of the system does not exceed a threshold which depends on a parameter that we call the temperature in analogy with models based on a thermodynamical approach. The usual Hartree-Fock model is recovered in the zero temperature limit. An orbital stability result for the Cauchy problem is deduced from the variational approach.

引用

页码：347 / 367

页数：21

共 50 条

[1] GENERALIZED PERTURBED HARTREE-FOCK THEORY
ROSSKY, PJ
KARPLUS, M
[J]. JOURNAL OF CHEMICAL PHYSICS, 1980, 72 (11): : 6085 - 6101
[2] Excited states in Hartree-Fock theory
Gonis, A.
[J]. COMPUTATIONAL MATERIALS SCIENCE, 2023, 226
[3] PERTURBATION THEORY WITH HARTREE-FOCK STATES
KELLY, HP
[J]. PHYSICS LETTERS A, 1967, A 25 (01) : 6 - &
[4] GENERALIZED HARTREE-FOCK METHOD AND ROTATIONAL STATES
SANO, M
WAKAI, M
[J]. NUCLEAR PHYSICS, 1965, 67 (03): : 481 - &
[5] GENERALIZED HARTREE THEORY - UPPER BOUNDS TO HARTREE-FOCK ENERGIES
GOLDEN, S
[J]. JOURNAL OF PHYSICAL CHEMISTRY, 1979, 83 (11): : 1388 - 1390
[6] Hartree-Fock theory of hole stripe states
Kim, TS
Yang, SRE
MacDonald, AH
[J]. PHYSICAL REVIEW B, 2000, 62 (12): : R7747 - R7750
[7] HARTREE-FOCK THEORY OF PROTON STATES IN HYDRIDES
PETTITT, BA
[J]. CHEMICAL PHYSICS LETTERS, 1986, 130 (05) : 399 - 402
[8] SELECTIVE SUMMATION IN GENERALIZED PERTURBED HARTREE-FOCK THEORY
MCDOWELL, K
[J]. JOURNAL OF CHEMICAL PHYSICS, 1982, 76 (11): : 5427 - 5440
[9] GENERALIZED HARTREE-FOCK THEORY AND THE HUBBARD-MODEL
BACH, V
LIEB, EH
SOLOVEJ, JP
[J]. JOURNAL OF STATISTICAL PHYSICS, 1994, 76 (1-2) : 3 - 89
[10] The Coulomb interaction in the generalized Hartree-Fock theory of superconductivity
Dayan, M
[J]. JOURNAL OF SUPERCONDUCTIVITY, 1996, 9 (05): : 503 - 512

← 1 2 3 4 5 →