The Semi-Circle Diagrams in the Stochastic Limit of the Anderson Model
The Semi-Circle Diagrams in the Stochastic Limit of the Anderson Model
We prove that, in the stochastic limit of the Anderson model only the non-crossing diagrams survive for the transition amplitude from the first excited state of the free Hamiltonian to the first excited state of the interacting Hamiltonian. This confirms a conjecture of Migdal (1958) and Abrikosov, Gorkov, Dzyaloshinski (1975). …