# Complex absorbing potential method for the perturbed Dirac operator

Kungsman, J and Melgaard, M (2014) Complex absorbing potential method for the perturbed Dirac operator. Communications in Partial Differential Equations, 39 (8). pp. 1451-1478. ISSN 0360-5302

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## Abstract

The Complex Absorbing Potential (CAP) method is widely used to compute resonances in Quantum Chemistry, both for nonrelativistic and relativistic Hamiltonians. In the semiclassical limit $\hbar \to 0$ we consider resonances near the real axis and we establish the CAP method rigorously for the perturbed Dirac operator by proving that individual resonances are perturbed eigenvalues of the nonselfadjoint CAP Hamiltonian, and vice versa. The proofs are based on pseudodifferential operator theory and microlocal analysis.

Item Type: Article School of Mathematical and Physical Sciences > Mathematics Q Science > QA Mathematics > QA0299 Analysis. Including analytical methods connected with physical problems Michael Melgaard 18 May 2014 10:20 05 Mar 2015 11:52 http://srodev.sussex.ac.uk/id/eprint/48731