Physics – Chemical Physics
Scientific paper
1996-05-13
Annals Phys. 252 (1996) 276-299
Physics
Chemical Physics
17 pages of LaTeX, no figures, submitted to Annals of Physics (N. Y.)
Scientific paper
10.1006/aphy.1996.0132
An extension of the fermionic particle--particle propagator is presented, that possesses similar algebraic properties to the single--particle Green's function. In particular, this extended two--particle Green's function satisfies Dyson's equation and its self energy has the same analytic structure as the the self energy of the single--particle Green's function. For the case of a system interacting by one--particle potentials only, the two--particle self energy takes on a particularly simple form, just like the common self energy does. The new two--particle self energy also serves as a well behaved optical potential for the elastic scattering of a two--particle projectile by a many--body target. Due to its analytic structure, the two--particle self energy avoids divergences that appear with effective potentials derived by other means.
Brand Joachim
Cederbaum Lorenz S.
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