Density-gradient theory provides a macroscopic approach to modeling quantum transport
that is particularly well adapted to semiconductor device analysis and engineering. After …

Смысл книги. Одно из самых сложных в настоящее время изделий электронной
промышленности-интегральная схема (ИС). Современная ИС может содержать более …

Recently, deep learning (DL) is widely used to detect physical phenomena and has
obtained encouraging results. Several works have shown that it can learn quantum …

In this paper, we study a priori error estimates for the finite element approximation of the
nonlinear Schr\"{o} dinger-Poisson model. The electron density is defined by an infinite …

We analyze an exponentially fitted finite element scheme for the unipolar quantum drift
diffusion model in one-dimensional space. The existence of discrete solutions is shown …

A non-stationary monotone iterative method is proposed and analyzed for the quantum-
corrected energy transport model in nanoscale semiconductor device simulation. For the …

The authors study the existence and long-time behavior of weak solutions to the bipolar
transient quantum drift-diffusion model, a fourth order parabolic system. Using semi …

We give an overview of analytic investigations of quantum semiconductor models, where we
focus our attention on two classes of models: quantum drift diffusion models, and quantum …

We propose a method to construct a classical analog of an open quantum system, namely, a
single quantum particle confined in a potential well and immersed in a thermal bath. The …

In this paper, we propose a positivity-preserving finite element method for solving the three-
dimensional quantum drift-diffusion model. The model consists of five nonlinear elliptic …