Dynamics of Many-Body Correlation Green's Functions Ⅰ.The Equations of Motion for Many-Body Correlation

  • By means of introducing a nonlinear transformation,the n-body correlation Green's functions G(n),c are separated out from the n-body Green's functions G(n) A set of non-relativistic dynamic equations for the time evolution of G(n),c is derived which provides a complete,systematic and non-perturbative approach for describing quantum many-body systems.
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  • [1] J. D. Bjorken and S. D. Drell, Relativistic Quantum Mechanics, McGraw-Hill Book Company, 1964.[2] J. D. Bjorken and S. D. Drell, Relativistic Quantum Field, McGraw-Hill Book Company, 1964.[3] A. L. Fetter and J. D. Walecka, Quantum Theory of Many Particle System, McGraw-Hill Book Company, 1971[4] A. A. Abrikosov et al,Methods of Quantum Field Theory in Statistical Physics, (Prentice-Hall, Engle-wood 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.[5] P. C. Martin and J. Schwinger, Phys. Rev., 115(1959), 1342;L. P. Kadanoff and G. Baym, Quantum Statistical Mechanics, W, A. Benjamin, 1962.[6] P. Danielewicz, Ann. Phys. (N. Y),152(1984), 238, 305;K. C. Cbou, Z. B. Su; B, L: Hao and L. Yu, Phys; Rep., 118(1985); 1;E. Calzetla and B. L. Hu, Phys. Rev., D37(1988), 2878;W, Botermans and R. Malfliet, Phys, Rep., 198(1990), 115.[7] R. P. Feynman, Phys. Rev.; 76(1949), 749, 769.[8] S. J. Wang and W, Gassing, Ann. Phys., 159(1985), 328,[9] S. J. Wang and W. Gassing, Nucl. Phys,A495(1989), 371C;W.Cassing and S. J. Wang, Z: Phys., A337(1990), 1;W. Gassing and U, Mosel, Progrs. in Part and, Nucl. Phys., 25(1990), 235;[10]S. J. Wang et al., Ann, Phys., 208(1991); 251;B. A. Li and W: Hauer, Phys. Lett:, B254(1991), 335;B. A. Li and W. Bauer. Pion Spectra in a Hadronic Transport Model for Relativistic Heavy lon Colli-signs, to be published in Pbys. Rev. C.[11] M. Tohyama.and M. Gong, Z. Phys., A332(1989), 269;M. Gong and M. Tohyama, ,Z. Phys., A335(1990), 153;M. Gong, M. Tohyama and J. Randrup, Z. Phys., A335(1990), 331.
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ZUO Wei and WANG Shun-Jin. Dynamics of Many-Body Correlation Green's Functions Ⅰ.The Equations of Motion for Many-Body Correlation[J]. Chinese Physics C, 1992, 16(9): 840-848.
ZUO Wei and WANG Shun-Jin. Dynamics of Many-Body Correlation Green's Functions Ⅰ.The Equations of Motion for Many-Body Correlation[J]. Chinese Physics C, 1992, 16(9): 840-848. 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 Ⅰ.The Equations of Motion for Many-Body Correlation

    Corresponding author: ZUO Wei,
  • Lanzhou University,730001

Abstract: By means of introducing a nonlinear transformation,the n-body correlation Green's functions G(n),c are separated out from the n-body Green's functions G(n) A set of non-relativistic dynamic equations for the time evolution of G(n),c is derived which provides a complete,systematic and non-perturbative approach for describing quantum many-body systems.

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