18 citations · 19 across the 4 of their papers we have counts for
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Lower bound on Dirac resonances with mass-type potentials in the semi-classical limit
Zhuo Chen, Michael Melgaard
We establish lower bounds on the number of resonances for three-dimensional semiclassical Dirac operators with mass-type potentials. For a pair $\Dl_j=\Dl_0+\mbfβv_j$, , sat…
Resonance expansions and local-energy decay estimates for Dirac operators
Zhuo Chen, Michael Melgaard
We study resonance expansions and localised long-time dynamics for three-dimensional semiclassical Dirac operators. For smooth Hermitian matrix-valued perturbations which are analy…
Existence of Dirac resonances in the semi-classical limit
J. Kungsman, M. Melgaard
We study the existence of quantum resonances of the three-dimensional semiclassical Dirac operator perturbed by smooth, bounded and real-valued scalar potentials decaying like…
Complex absorbing potential method for the perturbed Dirac operator
J. Kungsman, M. Melgaard
The Complex Absorbing Potential (CAP) method is widely used to compute resonances in Quantum Chemistry, both for nonrelativistic and relativistic Hamiltonians. In the semiclassical…