An extension of the fermionic particleparticle 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 with 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. 1996 Academic Press, Inc. I.An extension of the fermionic particleparticle 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 with 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. 1996 Academic Press, Inc. I.

Jan 1, 19967 citations

The single-particle Green’s function

Lecture notes in physics. M, MonographsDec 15, 20081 citation

Computational methods for the one-particle green's function

Wolfgang von Niessen, J. Schirmer, Lorenz S. Cederbaum

Computer Physics ReportsApr 1, 19841,127 citations

Decay properties of the one-particle Green function in real space and imaginary time

Arno Schindlmayr

The decay properties of the one-particle Green function in real space and imaginary time are systematically studied for solids. I present an analytic solution for the homogeneous electron gas at finite and at zero temperature as well as asymptotic formulas for real metals and insulators that allow an analytic treatment in electronic-structure calculations based on a space-time representation. The generic dependence of the decay constants on known system parameters is used to compare the scaling of reciprocal-space algorithms for the $\mathrm{GW}$ approximation and the space-time method.The decay properties of the one-particle Green function in real space and imaginary time are systematically studied for solids. I present an analytic solution for the homogeneous electron gas at finite and at zero temperature as well as asymptotic formulas for real metals and insulators that allow an analytic treatment in electronic-structure calculations based on a space-time representation. The generic dependence of the decay constants on known system parameters is used to compare the scaling of reciprocal-space algorithms for the $\mathrm{GW}$ approximation and the space-time method.

arXiv:cond-mat/0008399Physical review. B, Condensed matterNov 15, 200014 citations

Determination of the one-particle Green's function: freedom and constraints

Pina Romaniello, Giovanna Lani, Lucia Reining

Bulletin of the American Physical SocietyMar 4, 20140 citations

\mathrm{GW}

approximation and the space-time method.