Instability of Pre-Existing Resonances Under a Small Constant Electric Field
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Two simple model operators are considered which have pre-existing resonances. A potential corresponding to a small electric field, f, is then introduced and the resonances of the resulting operator are considered as f → 0. It is shown that these resonances are not continuous in this limit. It is conjectured that a similar behavior will appear in more complicated models of atoms and molecules. Numerical results are presented.
KeywordsEntire Function Steep Descent Half Complex Plane Embed Eigenvalue Entire Extension
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