Block diagrams and the cancellation of divergencies in energy-level perturbation theory

M.A.J. Michels, L.G. Suttorp

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5 Citations (Scopus)

Abstract

The effective Hamiltonian for the degenerate energy-eigenvalue problem in adiabatic perturbation theory is cast in a form that permits an expansion in Feynman diagrams. By means of a block representation a resummation of these diagrams is carried out such that in the adiabatic limit no divergencies are encountered. The resummed form of the effective Hamiltonian is used to established a connexion with the S matrix.
Original languageEnglish
Pages (from-to)487-505
JournalPhysica A. Statistical Mechanics and its Applications
Volume96
Issue number3
DOIs
Publication statusPublished - 1979
Externally publishedYes

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