Approximating resonances with the complex absorbing potential method

被引：17
|
作者：
Stefanov, P [1 ]
机构：
[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA
来源：
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2005年 / 30卷 / 12期
基金：
美国国家科学基金会;
关键词：
complex absorbing potential; resonances; scattering; scattering poles; Schroedinger operator;
D O I：
10.1080/03605300500300022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the Complex Absorbing Potential (CAP) Method in computing quantum resonances of widet -Im z(h) <= c(h) = O(h(N)), N >> 1. We show that up to an h(-M)root c(h) + O(h(infinity)) error, M >> 1, 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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页码：1843 / 1862
页数：20
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