The many body problem in relativistic quantum mechanics

被引：0
|
作者：
Moshinsky, M [1 ]
Nikitin, A [1 ]
机构：
[1] Univ Nacl Autonoma Mexico, Inst Fis, Mexico City 01000, DF, Mexico
来源：
REVISTA MEXICANA DE FISICA | 2004年 / 50卷 / 02期
关键词：
many body problems; relativistic quantum mechanics;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We discuss a relativistic Hamiltonian for an n-body problem in which all the masses are equal and all spins take value 1/2. In the frame of reference in which the total momentum P = 0, the Foldy-Wouthuysen transformation is applied and the positive energy part of the Hamiltonian is separated. The Hamiltonian with unharmonic oscillator potential is applied to describe mass differences for charmonium and bottomonium states.
引用
收藏
页码：66 / 73
页数：8
相关论文
共 50 条
  • [41] CLASSICAL CONTENT OF MANY-BODY QUANTUM-MECHANICS
    MELSHEIMER, O
    FOUNDATIONS OF PHYSICS, 1979, 9 (3-4) : 193 - 215
  • [42] Linear Continuum Mechanics for Quantum Many-Body Systems
    Tao, Jianmin
    Gao, Xianlong
    Vignale, G.
    Tokatly, I. V.
    PHYSICAL REVIEW LETTERS, 2009, 103 (08)
  • [43] Many-Body Localization and Thermalization in Quantum Statistical Mechanics
    Nandkishore, Rahul
    Huse, David A.
    ANNUAL REVIEW OF CONDENSED MATTER PHYSICS, VOL 6, 2015, 6 : 15 - 38
  • [44] The measure problem in no-collapse (many worlds) quantum mechanics
    Hsu, Stephen D. H.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2017, 26 (03):
  • [45] RELATIVISTIC 2-BODY PROBLEM IN QUANTUM THEORY
    SAKUMA, K
    SHONO, N
    OUCHI, T
    PROGRESS OF THEORETICAL PHYSICS, 1951, 6 (05): : 748 - 761
  • [46] RELATIVISTIC 2-BODY PROBLEM IN QUANTUM ELECTRODYNAMICS
    BARUT, AO
    HELVETICA PHYSICA ACTA, 1989, 62 (04): : 436 - 443
  • [47] QUANTUM FIELD THEORY AND MANY-BODY PROBLEM
    BOFFI, S
    NUOVO CIMENTO, 1965, 36 (01): : 306 - +
  • [48] QUANTUM FIELD THEORY AND MANY-BODY PROBLEM
    不详
    NUCLEAR PHYSICS, 1964, 59 (04): : 691 - &
  • [49] An averaging method for the quantum many-body problem
    V. P. Maslov
    Functional Analysis and Its Applications, 1999, 33 : 280 - 291
  • [50] Quantum Ergodicity in the Many-Body Localization Problem
    Monteiro, Felipe
    Tezuka, Masaki
    Altland, Alexander
    Huse, David A.
    Micklitz, Tobias
    PHYSICAL REVIEW LETTERS, 2021, 127 (03)
12345