Document Type
Article
Rights
This item is available under a Creative Commons License for non-commercial use only
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.
DOI
http://doi.org10.7900/jot.2012feb13.1948
Recommended Citation
Kungsman, J &Melgaard, M. (2014) Complex absorbing potential method for Dirac operators. Clusters of resonances . Journal of Operator Theory. Volume 71, no. 1, Winter 2014 pp. 259-283. DOI:10.7900/jot.2012feb13.1948
Publication Details
Journal of Operator Theory, Volume 71, no. 1, Winter 2014 pp. 259-283.