Complex absorbing potential method for systems

IF 1.5 3区数学 Q1 MATHEMATICS

Dissertationes Mathematicae Pub Date : 2010-01-01 DOI:10.4064/DM469-0-1

J. Kungsman, M. Melgaard

引用次数: 4

Abstract

The Complex Absorbing Potential (CAP) method is widely used to compute resonances in Quantum Chemistry, both for scalar valued and matrix valued Hamiltonians. In the semiclassical limit h → 0 we consider resonances near the real axis and we establish the CAP method rigorously in an abstract matrix valued setting by proving that resonances are perturbed eigenvalues of the nonselfadjoint CAP Hamiltonian, and vice versa. The proof is based on pseudodifferential operator theory and microlocal analysis.

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系统的复吸收势法

复吸收势(CAP)方法在量子化学中广泛用于计算标量值和矩阵值哈密顿量的共振。在半经典极限h→0下，我们考虑实轴附近的共振，并通过证明共振是非自伴随CAP哈密顿量的摄动特征值，在抽象矩阵值集上严格地建立了CAP方法，反之亦然。基于伪微分算子理论和微局部分析的证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Dissertationes Mathematicae 数学-数学

CiteScore

2.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： DISSERTATIONES MATHEMATICAE publishes long research papers (preferably 50-100 pages) in any area of mathematics. An important feature of papers accepted for publication should be their utility for a broad readership of specialists in the domain. In particular, the papers should be to some reasonable extent self-contained. The paper version is considered as primary. The following criteria are taken into account in the reviewing procedure: correctness, mathematical level, mathematical novelty, utility for a broad readership of specialists in the domain, language and editorial aspects. The Editors have adopted appropriate procedures to avoid ghostwriting and guest authorship.