Relativistic Landau resonances

Mesoscopic superposition states in relativistic Landau levels.

We show that a linear superposition of mesoscopic states in relativistic Landau levels can be built when an external magnetic field couples to a relativistic spin 1/2 charged particle. Under suitable initial conditions, the associated Dirac equation produces unitarily superpositions of coherent states involving the particle orbital quanta in a well-defined mesoscopic regime. We demonstrate that...

Relativistic mean-field dynamics of giant resonances

Models based on quantum hadrodynamics provide a consistent description of the nuclear many-body system in terms of interacting baryons and mesons. In the self-consistent mean-field approximation, the time-dependent model has been applied in the analysis of the dynamics of giant resonances. The calculated excitation energies and transition densities of isoscalar giant monopole resonances, restri...

Resonances and Spectral Shift Function near the Landau Levels

We consider the 3D Schrödinger operator H = H0 + V where H0 = (−i∇− A) , A is a magnetic potential generating a constant magnetic field of strength b > 0, and V is a short-range electric potential which decays superexponentially with respect to the variable along the magnetic field. We show that the resolvent of H admits a meromorphic extension from the upper halfplane to an appropriate complex...

Linearized quantum and relativistic Fokker-Planck-Landau equations

After a recent work on spectral properties and dispersion relations of the linearized classical Fokker-Planck-Landau operator 8], we establish in this paper analogous results for two more realistic collision operators: The rst one is the Fokker-Planck-Landau collision operator obtained by relativistic calculations of binary interactions , and the second is a collision operator (of Fokker-Planck...

Relativistic Landau damping of longitudinal waves in isotropic pair plasmas