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 …

Abstract The Wigner–Liouville equation is reformulated using a spectral decomposition of
the classical force field instead of the potential energy. The latter is shown to simplify the …

A novel numerical approximation technique for the Wigner transport equation including the
spatial variation of the effective mass based on the formulation of an exponential operator …

Unbounded potentials are always utilized to strictly confine quantum dynamics and generate
bound or stationary states due to the existence of quantum tunneling. However, the existed …

We propose a high order numerical method for computing time dependent 4-D Wigner
equation with unbounded potentials and study a canonical quantum double-slit interference …

A Monte Carlo technique for the solution of the Wigner transport equation has been
developed, based on the generation and annihilation of signed particles (Nedjalkov et al. in …

The system of transient Wigner–Poisson equations (TWPEs) is a common model to describe
carrier transport in quantum devices. In this paper, we design a second-order semi-implicit …

Numerical resolution for 6-D Wigner dynamics under the Coulomb potential is faced with the
combined challenges of high dimensionality, nonlocality, oscillation, and singularity. In …

The stationary Wigner inflow boundary value problem (SWIBVP) is modeled as an
optimization problem by using the idea of shooting method in this paper. To remove the …

An accurate description of 2-D quantum transport in a double-gate metal oxide
semiconductor field effect transistor (dgMOSFET) requires a high-resolution solver for a …