Kirkwood–Salsburg equation for a quantum lattice system of oscillators with many-particle interaction potentials

被引：0
|
作者：
W. I. Skrypnyk
机构：
[1] Ukrainian National Academy of Sciences,Institute of Mathematics
来源：
Ukrainian Mathematical Journal | 2009年 / 61卷
关键词：
Canonical Ensemble; Ternary Interaction; Fubini Theorem; Wiener Measure; Reduce Density Matrice;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
For a Gibbs system of one-dimensional quantum oscillators on a d-dimensional hypercubic lattice interacting via superstable pair and many-particle potentials of finite range, we prove the existence of a solution of the (lattice) Kirkwood–Salsburg equation for correlation functions depending on the Wiener paths. Some many-particle potentials may be nonpositive.
引用
收藏
页码：821 / 833
页数：12
相关论文
共 50 条
  • [31] Quantification of Correlations in Quantum Many-Particle Systems
    Byczuk, Krzysztof
    Kunes, Jan
    Hofstetter, Walter
    Vollhardt, Dieter
    PHYSICAL REVIEW LETTERS, 2012, 108 (08)
  • [32] Variational method for the ground state energy of a quantum many-particle system
    Takizawa, H
    Oguchi, A
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2000, 69 (07) : 2354 - 2355
  • [33] Many-particle models with two constants of interaction
    Golubeva V.A.
    Journal of Mathematical Sciences, 2005, 129 (1) : 3557 - 3565
  • [34] High Harmonic Generation with Many-Particle Coulomb Interaction in Graphene Quantum Dot
    Sedrakian, Kh. V.
    Ghazaryan, A. G.
    Avchyan, B. R.
    Musayelyan, G. A.
    Markosyan, T. M.
    JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS, 2023, 137 (01) : 47 - 54
  • [35] High Harmonic Generation with Many-Particle Coulomb Interaction in Graphene Quantum Dot
    Kh. V. Sedrakian
    A. G. Ghazaryan
    B. R. Avchyan
    G. A. Musayelyan
    T. M. Markosyan
    Journal of Experimental and Theoretical Physics, 2023, 137 : 47 - 54
  • [36] APPLICATION OF DIELECTRIC FORMULATION TO MULTICOMPONENT, MANY-PARTICLE SYSTEM WITH COULOMB INTERACTION
    GINOZA, M
    PROGRESS OF THEORETICAL PHYSICS, 1974, 52 (06): : 1737 - 1743
  • [37] Computer Visualization of Many-Particle Quantum Dynamics
    Ozhigov, A. Y.
    FOUNDATIONS OF PROBABILITY AND PHYSICS - 5, 2009, 1101 : 359 - 362
  • [38] Evolution of correlations of quantum many-particle systems
    Gerasimenko, V. I.
    Shtyk, V. O.
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2008,
  • [39] Quantum supremacy of many-particle thermal machines
    Jaramillo, J.
    Beau, M.
    del Campo, A.
    NEW JOURNAL OF PHYSICS, 2016, 18
  • [40] Response of model pair potentials to many-particle interactions
    Petrenko, VE
    Dubova, ML
    Kessler, YM
    Perova, MY
    RUSSIAN JOURNAL OF PHYSICAL CHEMISTRY, 2000, 74 (04): : 570 - 576
12345