The Wigner function was formulated in 1932 by Eugene Paul Wigner, at a time when
quantum mechanics was in its infancy. In doing so, he brought phase space representations …

Conduction electrons in metallic nano-objects (1\, nm= 10^-9\, m 1 nm= 10-9 m) behave as
mobile negative charges confined by a fixed positively charged background, the atomic ions …

This is a text on quantum mechanics formulated simultaneously in terms of position and
momentum, ie in phase space. It is written at an introductory level, drawing on the …

The effect of the Dirac cone tilt of anisotropic two-dimensional materials on the time
evolution of coherent electron states in the presence of electric and magnetic fields is …

We derive, from first principles and using the Weyl–Wigner formalism, a fully quantum kinetic
model describing the dynamics in phase space of Dirac electrons in single-layer graphene …

A quantum hydrodynamic model for charge transport in graphene is derived from a moment
expansion of the Wigner–Boltzmann equation. The needed closure relations are obtained …

Charge transport in suspended monolayer graphene is simulated by a numerical
deterministic approach, based on a discontinuous Galerkin (DG) method, for solving the …

A graphene field effect transistor (GFET), where the active area is made of monolayer large-
area graphene, is simulated including a full 2D Poisson equation and a drift-diffusion model …

We present a novel numerical scheme for the deterministic solution of the Wigner transport
equation, especially suited to deal with situations in which strong quantum effects are …

A hydrodynamical model for simulating charge transport in graphene is formulated by using
of the maximum entropy principle. Both electrons in the conduction band and holes in the …