18 citations · 19 across the 4 of their papers we have counts for
6 papers
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…
Poisson wave trace formula for perturbed Dirac operators
J. Kungsman, M. Melgaard
We consider self-adjoint Dirac operators $\ham{D}=\ham{D}_0 + V(x)$, where $\ham{D}_0$ is the free three-dimensional Dirac operator and is a smooth compactly supported Hermi…
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…
Stiefel and Grassmann manifolds in Quantum Chemistry
Eduardo Chiumiento, Michael Melgaard
We establish geometric properties of Stiefel and Grassmann manifolds which arise in relation to Slater type variational spaces in many-particle Hartree-Fock theory and beyond. In p…