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ON THE CORRELATION EFFECT IN MANY-BODY SYSTEMS

C Chen

Using the generalized method of self-consistent field developed by one of the authors[4], we discuss various correlation phenomena of many-body systems with a unified viewpoint. The general method of treatment is proposed and compared with the method of perturbation. From the approximation with two-body correlation we obtain, as particular applications, the Bruckner theory of nuclear matter and the Bohm-Pines theory of the collective oscillation of electron,gases. Finally the superconductivity and zero-point oscillations in non-ideal gases are discussed by solving, the bound state problem with the present method and the Gell-mann Low procedure. It is concluded that the method is very effective in treating correlation phenomena.Using the generalized method of self-consistent field developed by one of the authors[4], we discuss various correlation phenomena of many-body systems with a unified viewpoint. The general method of treatment is proposed and compared with the method of perturbation. From the approximation with two-body correlation we obtain, as particular applications, the Bruckner theory of nuclear matter and the Bohm-Pines theory of the collective oscillation of electron,gases. Finally the superconductivity and zero-point oscillations in non-ideal gases are discussed by solving, the bound state problem with the present method and the Gell-mann Low procedure. It is concluded that the method is very effective in treating correlation phenomena.

Acta Physica SinicaJan 1, 19600 citations

Correlations in Werner States

Luo, Shun-Long, Li

沃纳状态是量状态的替代例子并且在量信息理论起一个创新作用。在调查沃纳状态的相关能力，我们发现好奇的现象那量关联由形成的纠纷确定了可以超过全部的关联，由量测量了相互的信息。因而，尽管形成的纠纷是，那么广泛地在确定使用纠纷，如果我们接受全部的关联被测量的民俗学，它不能作为量关联本身的一项一致措施被解释(或相当上面跳) 由量相互的信息。

理论物理通讯：英文版Jan 1, 20080 citations

CORRELATION INDUCED HEATING AND COOLING OF MANY-BODY SYSTEMS

D. Semkat, M. Bönitz, D. Kremp +2 more

International Conference on Progress in Nonequilibrium Green's Functions (PNGF)May 1, 20033 citations

Pair-Correlation Effects in Many-Body Systems

Kristian Blom

Springer thesesJan 1, 20233 citations

A CORRELATION ESTIMATE FOR QUANTUM MANY-BODY SYSTEMS AT POSITIVE TEMPERATURE

ROBERT SEIRINGER

We present an inequality that gives a lower bound on the expectation value of certain two-body interaction potentials in a general state on Fock space in terms of the corresponding expectation value for thermal equilibrium states of non-interacting systems and the difference in the free energy. This bound can be viewed as a rigorous version of first-order perturbation theory for many-body systems at positive temperature. As an application, we give a proof of the first two terms in a high density (and high temperature) expansion of the free energy of jellium with Coulomb interactions, both in the fermionic and bosonic case. For bosons, our method works above the transition temperature (for the non-interacting gas) for Bose–Einstein condensation.We present an inequality that gives a lower bound on the expectation value of certain two-body interaction potentials in a general state on Fock space in terms of the corresponding expectation value for thermal equilibrium states of non-interacting systems and the difference in the free energy. This bound can be viewed as a rigorous version of first-order perturbation theory for many-body systems at positive temperature. As an application, we give a proof of the first two terms in a high density (and high temperature) expansion of the free energy of jellium with Coulomb interactions, both in the fermionic and bosonic case. For bosons, our method works above the transition temperature (for the non-interacting gas) for Bose–Einstein condensation.

arXiv:math-ph/0601051Reviews in Mathematical PhysicsApr 1, 20066 citations

Many Body Effects in Low-Dimensional Hubbard Model : 低次元ハバード模型に於ける多体効果

博巳大塚

Jan 1, 19920 citations

ON THE CORRELATION EFFECT IN MANY-BODY SYSTEMS

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ON THE CORRELATION EFFECT IN MANY-BODY SYSTEMS

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