小恒定电场下预存共振的不稳定性
Instability of pre-existing resonances under a small constant electric field
摘要：
两个简单的模型运营商被认为是预先存在的共振。一个潜在的对应于一个小的电场，$f$，然后引入和由此产生的运营商的共振被认为是$f\to0$。结果表明，这些共振是不连续的，在这个限制。在更复杂的原子和分子模型中也会出现类似的现象。数值结果。
英文摘要：
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 $f\to0$. 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.
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