We consider a system of one-dimensional non-interacting fermions in external harmonic confinement. Using an efficient Green’s function method we evaluate the exact profiles and the pair correlation function, showing a direct signature of the Fermi statistics and of the single quantum-level occupancy. We also study the dynamical properties of the gas, obtaining the spectrum both in the collision...

A two-dimensional hybrid particle-in-cell numerical model has been constructed in the radial-axial plane with the intent of examining the physics governing Hall thruster operation. The electrons are treated as a magnetized quasi-one-dimensional fluid and the ions are treated as collisionless, unmagnetized discrete particles. The anomalously high electron conductivity experimentally observed in ...

We have found that the Bethe roots describing the ground state of the integrable one-dimensional model of interacting bosons with weakly repulsive two-body delta interactions satisfy the set of equations appearing in the strong coupling limit of the integrable BCS model. The BCS model describes electron-electron interactions in weakly disordered metallic grains. It follows that the Bethe roots ...