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Acta Physica Sinica

THE BINARY COLLISION EXPANSION OF DOUBLE-TIME-TEMPERATURE-DEPENDENT GREEN'S FUNCTIONS

Chien-hua Tsai, Han Shun Hsu

Published Jan 1, 1965• 0 citations
Publisher

Abstract

摘要 应用李政道和杨振宁提出的二元碰撞展开法,对于有强短程排斥互作用的多粒子系发展了一种按图形计算双时间-温度格临函数的规则,其各级近似由二体散射相移的各次幂所表征。文中得出了玻色和费米统计情形的计算规则,并且研究了有凝聚相存在的玻色系统。本文主要讨论了单粒子格临函数的图形技术,但容易将它们推广应用于计算各种时间-温度格临函数。 Abstract The method of binary collision expansion has been employed to obtain series developments in powers of the scattering length between two particles for double-time-temperature-dependent Green's functions of statistical mechanics. We have studied the cases of Bose and Fermi statistics as well as the case of a Bose system in the presence of a condensed phase, and have established rules for computation of the successive terms of expansion with the aid of diagrams. The present method is applicable to many particle systems with strong and short-ranged mainly repulsive two-body interactions. 作者及机构信息 蔡建华1, 徐宏华2 (1)南京大学物理系; (2)南京大学物理系,1964年应届毕业生 Authors and contacts C. H. TSAI1, H. H. HSU2 (1)南京大学物理系; (2)南京大学物理系,1964年应届毕业生 参考文献 [1] 施引文献

DOI
10.7498/aps.21.1785

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1960 г.Май Т. LXX1.вып. 1 УСПЕХИ ФИЗИЧЕСКИХ НАУК ДВУХВРЕМЕННЫЕ ФУНКЦИИ ГРИНА В СТАТИСТИЧЕСКОЙ ФИЗИКЕ Д. Н. Зубарев СОДЕРЖАНИЕ $ 1. Введение 71 § 2. Двухвремонные температурные функции Грина 72 ^ 3. Спектральные представления . .77 ί; 4. Функции Грина в теории необратимых процессов 83 § Г).Идеальные квантовые газы .87 & 6.Приложение к теории сверхпроводимости 89 $ 7. Приложение к теории ферромагнетизма 101 § 8. Взаимодействие электронов с решеткой 105 § 9. Выводи 114 Цитированная литератора 115 § 1. ВВЕДЕНИЕ *) Функции Грина из операторов в гейзенберговском представлении с &6 = Н-μΝ применялись в работах 51 , 13 , 19 .
Part I: Green's Functions in Mathematical Physics - Time-Independent Green's Functions / Time-dependent Green's Functions / Part II: One-Body Green's Functions - Physical Significance of One-Body Green's Functions / Green's Functions and Perturbation Theory / Green's Functions for Tight-Binding Hamiltonians / Single Impurity Scattering / Extension Theory for Lattice Green's Functions / Part III: Many-Body Green's Functions - Field Operators and Three Pictures / Definition and Properties of Many-Body Green's Functions / The Diagram Technique for Zero-Temperature Green's Functions / Definition and Properties of Matsubara Green's Functions / Diagram Technique for the Matsubara Green's Functions / Three Approximation Schemes of the Diagram Technique / Linear Response Theory / The Equation of Motion Technique for the Green's Functions / Magnetic Systems Described by Heisenberg Model / The Green's Functions for Boson Systems with Condensation / Superconductors with Weak Interaction Between Electrons / Nonequilibrium Green's Functions / Electronic Transport through a Mesoscopic Structure / Appendixes / Index.
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