Equivalent linear two-body equations for many-body systems

被引:4
|
作者
Zubarev, AL [1 ]
Kim, YE [1 ]
机构
[1] Purdue Univ, Dept Phys, W Lafayette, IN 47907 USA
关键词
D O I
10.1016/S0375-9601(99)00717-3
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A method has been developed for obtaining equivalent linear two-body (ELTB) equations for the system of many (N) bosons using the variational principle. The method has been applied to the one-dimensional N-body problem with pair-wise contact interactions (McGurie-Yang N-body problem) and to the dilute Bose-Einstein condensation (BEC) of atoms in anisotropic harmonic traps at zero temperature. For both cases, it is shown that the method gives excellent results for large N. (C) 1999 Published by Elsevier Science B.V. All rights reserved.
引用
收藏
页码:33 / 37
页数:5
相关论文
共 50 条
  • [21] Avalanches and many-body resonances in many-body localized systems
    Morningstar, Alan
    Colmenarez, Luis
    Khemani, Vedika
    Luitz, David J.
    Huse, David A.
    PHYSICAL REVIEW B, 2022, 105 (17)
  • [22] INTEGRAL-EQUATIONS FOR INHOMOGENEOUS MANY-BODY SYSTEMS
    WOO, CW
    SENBETU, L
    NUCLEAR PHYSICS A, 1979, 328 (1-2) : 309 - 319
  • [23] Transport equations for driven many-body quantum systems
    Weidenmueller, H. A.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2022, 55 (18)
  • [24] Many-body systems interacting via a two-body random ensemble: The angular momentum 0 ground state dominance
    Zhao, YM
    Arima, A
    Yoshinaga, N
    FRONTIERS OF COLLECTIVE MOTIONS (CM2002), 2003, : 276 - 281
  • [25] From Common Many-Body Problems to Uncommon Two-Body Problems: An Algebraic Approach to Clusterization
    J. Cseh
    G. Lévai
    P. O. Hess
    W. Scheid
    Few-Body Systems, 2000, 29 : 61 - 74
  • [26] Many-body theory beyond GW: Towards a complete description of two-body correlated propagation
    Cunningham, Brian
    PHYSICAL REVIEW RESEARCH, 2024, 6 (04):
  • [27] Exactness of wave functions from two-body exponential transformations in many-body quantum theory
    Mazziotti, DA
    PHYSICAL REVIEW A, 2004, 69 (01): : 11
  • [28] Exactness of wave functions from two-body exponential transformations in many-body quantum theory
    Mazziotti, David A.
    Physical Review A - Atomic, Molecular, and Optical Physics, 2004, 69 (01): : 125071 - 125071
  • [29] From common many-body problems to uncommon two-body problems:: An algebraic approach to clusterization
    Cseh, J
    Lévai, G
    Hess, PO
    Scheid, W
    FEW-BODY SYSTEMS, 2000, 29 (1-3) : 61 - 74
  • [30] Linear Continuum Mechanics for Quantum Many-Body Systems
    Tao, Jianmin
    Gao, Xianlong
    Vignale, G.
    Tokatly, I. V.
    PHYSICAL REVIEW LETTERS, 2009, 103 (08)