Resonances in Physics and Chemistry Rigorous results on the Complex Absorbing Potential method

The Complex Absorbing Potential (CAP) method is widely used to compute resonances in Physics and Chemistry, both for nonrelativistic and relativistic Hamiltonians. We give a soft introduction to the notion of resonances and the CAP method and, in the semiclassical limit ~ ! 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. References [1] J. Kungsman, M. Melgaard, Complex Absorbing Potential Method for the perturbed Dira