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 30 条
  • [1] SPECTROSCOPIC DETERMINATION OF THE S-WAVE SCATTERING LENGTH OF LITHIUM
    ABRAHAM, ERI
    MCALEXANDER, WI
    SACKETT, CA
    HULET, RG
    [J]. PHYSICAL REVIEW LETTERS, 1995, 74 (08) : 1315 - 1318
  • [2] HYPERSPHERICAL-EXPANSION APPROACH TO NUCLEAR BOUND STATES .1
    BADALYAN, AM
    CALOGERO, F
    SIMONOV, YA
    [J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1970, 68 (04): : 572 - +
  • [3] Ground-state properties of magnetically trapped Bose-condensed rubidium gas
    Baym, G
    Pethick, CJ
    [J]. PHYSICAL REVIEW LETTERS, 1996, 76 (01) : 6 - 9
  • [4] BAZ AI, 1972, SOV J PART NUCL, V3, P137
  • [5] Effective potentials for dilute Bose-Einstein condensates
    Bohn, JL
    Esry, BD
    Greene, CH
    [J]. PHYSICAL REVIEW A, 1998, 58 (01): : 584 - 597
  • [6] Bose-Einstein condensation of lithium: Observation of limited condensate number
    Bradley, CC
    Sackett, CA
    Hulet, RG
    [J]. PHYSICAL REVIEW LETTERS, 1997, 78 (06) : 985 - 989
  • [7] GENERATOR COORDINATE THEORY OF COLLECTIVE MOTION
    BRINK, DM
    WEIGUNY, A
    [J]. NUCLEAR PHYSICS A, 1968, A120 (01) : 59 - &
  • [8] HYPERSPHERICAL-EXPANSION APPROACH TO NUCLEAR BOUND-STATES .4. LIMIT OF LARGE A FOR VELOCITY-DEPENDENT POTENTIALS
    CALOGERO, F
    DANDREA, A
    OLIVIERI, E
    SCALIA, M
    RAGNISCO, O
    SIMONOV, YA
    SURKOV, EL
    [J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1973, A 14 (03): : 445 - 476
  • [9] HYPERSPHERICAL EXPANSION APPROACH TO NUCLEAR BOUND STATES .2.
    CALOGERO, F
    SIMONOV, YA
    [J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1970, 67 (04): : 641 - +
  • [10] HYPERSPHERICAL-EXPANSION APPROACH TO NUCLEAR BOUND STATES .3. LIMIT OF LARGE A
    CALOGERO, F
    SIMONOV, YA
    SURKOV, EL
    [J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A, 1971, A 1 (04): : 739 - &