Dense point spectrum and absolutely continuous spectrum in spherically symmetric Dirac operators.
Dérivations, formes et opérateurs usuels sur les champs spinoriels des variétés différentiables de dimension paire
Développement asymptotique de la densité d'états pour des opérateurs de Schrödinger aléatoires singuliers
Diamagnetic behavior of sums Dirichlet eigenvalues
The Li-Yau semiclassical lower bound for the sum of the first eigenvalues of the Dirichlet–Laplacian is extended to Dirichlet– Laplacians with constant magnetic fields. Our method involves a new diamagnetic inequality for constant magnetic fields.
Discrete spectrum of operator valued Friedrichs models
Distributional asymptotic expansions of spectral functions and of the associated Green kernels.
Dynamical Resonances and SSF Singularities for a Magnetic Schrödinger Operator
We consider the Hamiltonian H of a 3D spinless non-relativistic quantum particle subject to parallel constant magnetic and non-constant electric field. The operator H has infinitely many eigenvalues of infinite multiplicity embedded in its continuous spectrum. We perturb H by appropriate scalar potentials V and investigate the transformation of these embedded eigenvalues into resonances. First, we assume that the electric potentials are dilation-analytic with respect to the variable along the magnetic...