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.

引用

页码：1843 / 1862

页数：20

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