Implicit ladder summation in the Hartree-Fock-Bogoliubov approach

被引:5
|
作者
Pricoupenko, Ludovic [1 ,2 ]
机构
[1] Univ Paris 06, Lab Phys Theor Matiere Condensee, F-75252 Paris, France
[2] CNRS, F-75252 Paris, France
来源
PHYSICAL REVIEW A | 2011年 / 84卷 / 05期
关键词
GAS;
D O I
10.1103/PhysRevA.84.053602
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The fully variational Hartree-Fock-Bogoliubov approach for bosons is studied in the limit of zero-range forces in two and three dimensions. The equation of state obtained in two dimensions is expressed in a parametric form. It is shown that the Lambda potential permits to perform an implicit summation of the ladder diagrams without leaving the variational scheme, restoring thus the consistency of this approximation.
引用
收藏
页数:8
相关论文
共 50 条
  • [1] A Hartree-Fock-Bogoliubov mass formula
    Samyn, M
    Goriely, S
    Heenen, PH
    Pearson, JM
    Tondeur, F
    NUCLEAR PHYSICS A, 2002, 700 (1-2) : 142 - 156
  • [2] Superheavy magic structures in the relativistic Hartree-Fock-Bogoliubov approach
    Li, Jia Jie
    Long, Wen Hui
    Margueron, Jerome
    Van Giai, Nguyen
    PHYSICS LETTERS B, 2014, 732 : 169 - 173
  • [3] HARTREE-FOCK AND HARTREE-FOCK-BOGOLIUBOV CALCULATIONS OF SUPERDEFORMED BANDS
    FLOCARD, H
    CHEN, BQ
    GALL, B
    BONCHE, P
    DOBACZEWSKI, J
    HEENEN, PH
    WEISS, MS
    NUCLEAR PHYSICS A, 1993, 557 : C559 - C572
  • [4] A NUMERICAL PERSPECTIVE ON HARTREE-FOCK-BOGOLIUBOV THEORY
    Lewin, Mathieu
    Paul, Severine
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2014, 48 (01): : 53 - 86
  • [6] Homogeneous Spaces in Hartree-Fock-Bogoliubov Theory
    Alvarado, Claudia D.
    Chiumiento, Eduardo
    JOURNAL OF GEOMETRIC ANALYSIS, 2024, 34 (11)
  • [7] Global estimates for the Hartree-Fock-Bogoliubov equations
    Chong, Jacky
    Grillakis, Manoussos
    Machedon, Matei
    Zhao, Zehua
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2021, 46 (10) : 2015 - 2055
  • [8] AN EXTENSION OF THE CRANKED HARTREE-FOCK-BOGOLIUBOV THEORY
    HORIBATA, T
    LETTERE AL NUOVO CIMENTO, 1980, 28 (17): : 578 - 582
  • [9] HARTREE-FOCK-BOGOLIUBOV THEORY WITHOUT QUASIPARTICLE VACUA
    ROSENSTEEL, G
    PHYSICAL REVIEW A, 1981, 23 (06): : 2794 - 2801
  • [10] Symmetry Restoration in Hartree-Fock-Bogoliubov Based Theories
    Bertsch, G. F.
    Robledo, L. M.
    PHYSICAL REVIEW LETTERS, 2012, 108 (04)