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Rigorous determination of cross sections via complex transformations
Author(s) -
Brändas Erkki,
Froelich Piotr
Publication year - 2009
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560240812
Subject(s) - resolvent , skew , context (archaeology) , limit (mathematics) , series (stratigraphy) , resonance (particle physics) , convergent series , mathematics , amplitude , statistical physics , physics , mathematical analysis , quantum mechanics , power series , paleontology , astronomy , biology
Abstract General formulas useful in the context of probability‐amplitude calculations are given in terms of the appropriately deformed resolvent expressions. It is proven that the formulation based on the skew inner projections leads to a series of approximations for the dilated resolvent, convergent in the limit to the exact result. Finally some recent data for the He − 1 s 2 s 2 p 2 P 0 resonance is appraised in view of the present theory.