多体問題とグリーン関数との関係の研究 : 高等量子力学における摂動理論(14)

概要

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In this paper, next subject is discussed. §35. Dyson's equation of fermion The sum of corresponding modified propagators for all the possible sub-diagrams [numerical formula] was showed. G"(k,E) represents everything that can happen to a free particle, i. e. all virtual excitations when it moves in empty space. Next we define another fermion propagator [numerical formula] which is the propagator for a connected diagram and does not contain non-connected diagrams with fluctuations of the vacuum. Then the result in G"(k,E) gives the product of G(k,E) and S-matrix for a vacuum diagram. The representation of G(k,E) gives Dyson's equation of fermion, say [numerical formula]
近畿大学の論文
2004-12-20