1 citations · 1 across the 1 of their papers we have counts for
5 papers
The Landau-Zener transition and the surface hopping method for the 2D Dirac equation for graphene
Ali Faraj, Shi Jin
A Lagrangian surface hopping algorithm is implemented to study the two dimensional massless Dirac equation for Graphene with an electrostatic potential, in the semiclassical regime…
An explicit model for the adiabatic evolution of quantum observables driven by 1D shape resonances
A. Faraj, A. Mantile, F. Nier
This paper is concerned with a linearized version of the transport problem where the Schrödinger-Poisson operator is replaced by a non-autonomous Hamiltonian, slowly varying in tim…
A double scale fast algorithm for the transient evolution of a resonant tunneling diode
Naoufel Ben Abdallah, Ali Faraj
The simulation of the time-dependent evolution of the resonant tunneling diode is done by a multiscale algorithm exploiting the existence of resonant states. After revisiting and i…
Asymptotic analysis of a Schrödinger-Poisson system with quantum wells and macroscopic nonlinearities in dimension 1
Ali Faraj
We consider the stationary one dimensional Schrödinger-Poisson system on a bounded interval with a background potential describing a quantum well. Using a partition function which…
Adiabatic evolution of 1D shape resonances: an artificial interface conditions approach
Ali Faraj, Andrea Mantile, Francis Nier
Artificial interface conditions parametrized by a complex number are introduced for 1D-Schrödinger operators. When this complex parameter equals the parameter of…