Widths of resonances above an energy-level crossing
Widths of resonances above an energy-level crossing
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DOI：
10.1016/j.jfa.2020.108918
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发表时间：
2019-04
影响因子：
1.7
通讯作者：
Setsuro Fujii'e;André Martinez;Takuya Watanabe
中科院分区：
文献类型：
--
作者：
Setsuro Fujii'e;André Martinez;Takuya Watanabe
本文研究了2× 2耦合Schrödinger算符半经典系统在两个电子能级交叉的情况下共振的存在性和位置，其中一个电子能级为成键，另一个为反键。考虑刚好在交叉能级之上的能级，我们发现共振的实部和虚部的渐近性都接近这些能量。这是我们之前的工作的延续，我们考虑了十字路口周围的能量水平。
We study the existence and location of the resonances of a 2× 2 semiclassical system of coupled Schrödinger operators, in the case where the two electronic levels cross at some point, and one of them is bonding, while the other one is anti-bonding. Considering energy levels just above that of the crossing, we find the asymptotics of both the real parts and the imaginary parts of the resonances close to such energies. This is a continuation of our previous works where we considered energy levels around that of the crossing.