用复吸收势方法近似共振态
Approximating resonances with the Complex Absorbing Potential Method
摘要：
本文研究了复吸收势（CAP）方法计算宽度为$c(h) = O(h^N)$，$N\gg1$的量子共振态.我们发现，高达$h^{-M}\sqrt{c(h)} +\Oh$错误，$M\gg1$，共振的CAP哈密顿$P(h)-iW$扰动的本征值，反之亦然，其中$W$是非负实部的捕获区域外支持的CAP。在某些情况下，误差项呈指数级地小。
英文摘要：
We study the Complex Absorbing Potential (CAP) Method in computing quantum resonances of width $c(h) = O(h^N)$, $N\gg1$. We show that up to $h^{-M}\sqrt{c(h)} +\Oh$ error, $M\gg1$, resonances are perturbed eigenvalues of the CAP Hamiltonian $P(h)-iW$, and vice versa, where $W$ is the CAP with non-negative real part supported outside the trapping region. In some cases, the error terms are exponentially small.
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