Dynamics of Many-Body Correlation Green's Functions Ⅲ Truncation with Respect to Crder

ZUO Wei; WANG Shun-Jin

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1993, Vol. 17> Issue(2) : 179-185

Dynamics of Many-Body Correlation Green's Functions Ⅲ Truncation with Respect to Crder

ZUO Wei ^, ,
WANG Shun-Jin

Lanzhou University 730001

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Abstract：
All of the main non-perturbative results in the standard Green's function theory are obtained naturally and explicitly from the set of dynamic equations of the many-body correlation Green's functions by means of truncation up to lower correlations.The two-body correlation Green's function dynamics includes both ladder diagrams for short-range correlations and ring diagrams for long-range correlations in a unified way.

References

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A. L. Fetter and J. D. Walecka, Quantum Theory of Many Particle System, Mc Graw-Hill Book Com-pany, I971.[2]T. Matsubara, Progr. Theor. Phys. (Kyoto)., 14(1955), 351;E. S. Fradkin, JETP, 9(1959), 912;M. Gaudin, Nucl. Phys., 15(1960), 89;A. A. Abrikosov, L. P. Gorkov and I. E. Dzaloshinskii, Methods of Quantum Field Theory in Stati-stical Physics, (Prentice-Hall, Enalewood Cliffs, New Jersey, 1963);蔡建华等著,《量子统计的格林函数理论》,科学出版社,1982,[3]P. C. Martin and J. Schwinger,Phys. Rev.. 115(1959), 1342; L. P. Kadanoff and G. Baym,Quantum Statistical Mechanics, W. A. Benjamin, 1962.[4]P.Danielewiez, Ann. Phys. (N. Y.), 152(1989), 238, 305;K.C. Chow Z. B. 8u, B. L. Hao, and L. Yu, Phys. Rep., 118(1985),1E.Calzetla and B. L. Hu, Phys. Rev., D97(1999), 2879;W.Rotermans anri R. Malfliet. .Phys. rep.. 198(1990). 115.[5]左维、王顺金,多体关联Green函数动力学I.多体关联Green函数的运动方程,高能物理与核物理,待发表.[6]W. Cussing, K. Niita and S. J. Wang, Z. Phys., A381(1988), 439.

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ZUO Wei and WANG Shun-Jin. Dynamics of Many-Body Correlation Green's Functions Ⅲ Truncation with Respect to Crder[J]. Chinese Physics C, 1993, 17(2): 179-185.

ZUO Wei and WANG Shun-Jin. Dynamics of Many-Body Correlation Green's Functions Ⅲ Truncation with Respect to Crder[J]. Chinese Physics C, 1993, 17(2): 179-185. shu

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Received: 1900-01-01
Revised: 1900-01-01

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Dynamics of Many-Body Correlation Green's Functions Ⅲ Truncation with Respect to Crder

ZUO Wei ^,
WANG Shun-Jin

Corresponding author: ZUO Wei,

Lanzhou University 730001

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1993-02-05

Abstract: All of the main non-perturbative results in the standard Green's function theory are obtained naturally and explicitly from the set of dynamic equations of the many-body correlation Green's functions by means of truncation up to lower correlations.The two-body correlation Green's function dynamics includes both ladder diagrams for short-range correlations and ring diagrams for long-range correlations in a unified way.