Resonance regions determined by a projection-operator formulation
- 1 June 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 37 (11) , 4145-4152
- https://doi.org/10.1103/physreva.37.4145
Abstract
A particular well-defined enveloping construction based on the Hermitian representation of the complex-coordinate method combined with a projection-operator argument leads to a rigorous criterion for the existence of a resonance eigenvalue within a given region in the complex energy plane. The geometrical realization of this idea involves the analysis of a certain ichthyoid ‘‘fishlike’’ enveloping construction. Results for a simple model potential are displayed.Keywords
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