Block diagrams and the cancellation of divergences in energy-level perturbation theory
| Authors |
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| Publication date |
1979
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| Journal |
Physica A : Statistical Mechanics and its Applications
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| Volume | Issue number |
96
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| Pages (from-to) |
487-505
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| Number of pages |
19
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| Organisations |
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Faculty of Science (FNWI) - Institute of Physics (IoP) - Institute for Theoretical Physics Amsterdam (ITFA)
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| 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 establish a connexion with the S matrix
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| Document type |
Article
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| Published at |
https://doi.org/10.1016/0378-4371(79)90008-6
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