Kungsman, J and Melgaard, M (2014) Complex absorbing potential method for Dirac operators. Clusters of resonances. Journal of Operator Theory, 71 (1). pp. 259-283. ISSN 1841-7744

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Abstract

For both nonrelativistic and relativistic Hamiltonians, the complex absorbing potential (CAP) method has been applied extensively to calculate resonances in physics and chemistry. We study clusters of resonances for the perturbed Dirac operator near the real axis and, in the semiclassical limit, we establish the CAP method rigorously by showing that resonances are perturbed eigenvalues of the nonselfadjoint CAP Hamiltonian, and vice versa.

Item Type:	Article
Schools and Departments:	School of Mathematical and Physical Sciences > Mathematics
Subjects:	Q Science > QA Mathematics > QA0299 Analysis. Including analytical methods connected with physical problems
Depositing User:	Michael Melgaard
Date Deposited:	18 May 2014 10:18
Last Modified:	18 May 2014 10:19
URI:	http://srodev.sussex.ac.uk/id/eprint/48730

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