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

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

Physica A: Statistical Mechanics and its Applications, 1979, vol. 96, issue 3, 487-505

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.

Date: 1979
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:96:y:1979:i:3:p:487-505

DOI: 10.1016/0378-4371(79)90008-6

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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