ONE PARTICLE EQUATIONS FOR MANY PARTICLE QUANTUM SYSTEMS: THE MCTHDF METHOD

被引：0
作者：
Bardos, Claude [1 ,2 ]
Mauser, Norbert J. [2 ]
机构：
[1] Lab JL Lions, F-75252 Paris 05, France
[2] Univ Vienna, Wolfgang Pauli Inst, Inst Math, A-1090 Vienna, Austria
来源：
QUARTERLY OF APPLIED MATHEMATICS | 2010年 / 68卷 / 01期
关键词：
HARTREE-FOCK EQUATIONS; MEAN-FIELD LIMIT; MULTICONFIGURATION EQUATIONS; CAUCHY-PROBLEM; EXISTENCE; APPROXIMATION; DERIVATION; DYNAMICS; ATOMS;
D O I：
10.1090/s0033-569x-09-01181-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This contribution is devoted to the mathematical analysis of more or less sophisticated approximations of the time evolution of systems of N quantum particles. New results for the Multiconfiguration Time Dependent Hartree-Fock (MCTDHF) method (which cover the material of the talk given by the first author at the "Nonlinear waves conference in honor of Walter Strauss") are summarized and compared with the simpler Hartree and Hartree-Fock equations.
引用
收藏
页码：43 / 59
页数：17
相关论文
共 50 条
  • [1] On quantum kinetic equations of many-particle systems in condensed states
    Gerasimenko, V. I.
    Tsvir, Zh A.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2012, 391 (24) : 6362 - 6366
  • [2] Groups of Operators for Evolution Equations of Quantum Many-particle Systems
    Gerasimenko, V. I.
    MODERN ANALYSIS AND APPLICATIONS: MARK KREIN CENTENARY CONFERENCE, VOL 2: DIFFERENTIAL OPERATORS AND MECHANICS, 2009, 191 : 341 - 355
  • [3] Levy distribution in many-particle quantum systems
    Ponomarev, A. V.
    Denisov, S.
    Haenggi, P.
    PHYSICAL REVIEW A, 2010, 81 (04):
  • [4] Model of Many-Particle Aggregation in Dense Particle Systems
    Brener, Arnold M.
    IBIC2014: 4TH INTERNATIONAL CONFERENCE ON INDUSTRIAL BIOTECHNOLOGY, 2014, 38 : 145 - 150
  • [5] A MULTISCALE PARTICLE METHOD FOR MEAN FIELD EQUATIONS: THE GENERAL CASE
    Klar, Axel
    Tiwari, Sudarshan
    MULTISCALE MODELING & SIMULATION, 2019, 17 (01) : 233 - 259
  • [6] Diagrammatic Monte Carlo Approach to Angular Momentum in Quantum Many-Particle Systems
    Bighin, G.
    Tscherbul, T., V
    Lemeshko, M.
    PHYSICAL REVIEW LETTERS, 2018, 121 (16)
  • [7] Effects of coherence on quantum speed limits and shortcuts to adiabaticity in many-particle systems
    Xu, Tian-Niu
    Li, Jing
    Busch, Thomas
    Chen, Xi
    Fogarty, Thomas
    PHYSICAL REVIEW RESEARCH, 2020, 2 (02):
  • [8] INTERACTING MANY-PARTICLE SYSTEMS OF DIFFERENT PARTICLE TYPES CONVERGE TO A SORTED STATE
    Kokkendorff, Simon Lyngby
    Starke, Jens
    Hummel, Noemi
    SIAM JOURNAL ON APPLIED MATHEMATICS, 2010, 70 (07) : 2534 - 2555
  • [9] Quantum thermodynamics of single particle systems
    Ali, Md Manirul
    Huang, Wei-Ming
    Zhang, Wei-Min
    SCIENTIFIC REPORTS, 2020, 10 (01)
  • [10] Mean field dynamics of a quantum tracer particle interacting with a boson gas
    Chen, Thomas
    Soffer, Avy
    JOURNAL OF FUNCTIONAL ANALYSIS, 2019, 276 (03) : 971 - 1006
12345