Kungsman, Jimmy and Melgaard, Michael (2010) Complex absorbing potential method for systems. Dissertationes Mathematicae, 469. pp. 1-58. ISSN 0012-3862

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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.

Item Type:	Article
Keywords:	matrix valued pseudodifferential operators, nonselfadjoint operators, eigenvalues, perturbations, scattering, propagation of singularities
Schools and Departments:	School of Mathematical and Physical Sciences > Mathematics
Subjects:	Q Science > QA Mathematics > QA0299 Analysis. Including analytical methods connected with physical problems
Related URLs:	http://journals.impan.pl
Depositing User:	Michael Melgaard
Date Deposited:	19 Sep 2013 10:14
Last Modified:	19 Sep 2013 10:14
URI:	http://srodev.sussex.ac.uk/id/eprint/46368

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