Abstract
The description of dynamical processes in atomic and molecular systems often leads to a set of coupled differential equations. Resonances within such species can be studied from a step by step propagation of solutions of these equations satisfying appropriate boundary conditions at both ends of the integration range. This is combined with a matching relation which plays the role of a quantization condition yielding a complex energy. Many variants are possible: the integration path can be real or complex; the addition of an optical potential is analyzed in some detail. This perturbation may, under some conditions, be completely equivalent to the use of a complex integration path. When these conditions are not fulfilled, the energy suffers a complex shift which may be eliminated through analytic continuation.
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© 1989 Springer-Verlag
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Lefebvre, R. (1989). Energy shifts and widths in atomic and molecular physics: Multichannel approach. In: Brändas, E., Elander, N. (eds) Resonances The Unifying Route Towards the Formulation of Dynamical Processes Foundations and Applications in Nuclear, Atomic and Molecular Physics. Lecture Notes in Physics, vol 325. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-50994-1_47
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DOI: https://doi.org/10.1007/3-540-50994-1_47
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