1996/05/13 by Joachim Brand, Lorenz S. Cederbaum · 3 citations
Physics and Astronomy · #Atomic and Molecular Physics #Nuclear physics research studies #Quantum and Classical Electrodynamics #atom-ph #chem-ph #nucl-th #physics.chem-ph
paper · pdf · doi:10.1006/aphy.1996.0132
published as Annals Phys. 252 (1996) 276-299 · 17 pages of LaTeX, no figures, submitted to Annals of Physics (N. Y.)
arxiv created 1996/05/13 · openalex publication_date 1996/12/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.