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.
| Original language | English |
|---|---|
| Pages (from-to) | 259-283 |
| Number of pages | 25 |
| Journal | Journal of Operator Theory |
| Volume | 71 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2014 |
| Externally published | Yes |
Keywords
- Complex absorbing potential
- Complex distortion
- Dirac operator
- Propagation of singularities
- Quasi modes
- Resonances
- Semiclassical limit