Absorbing boundaries for wave propagation problems
Journal of Computational Physics
Split-step spectral method for nonlinear Schro¨dinger equation with asbsorbing boundaries
Journal of Computational Physics
On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime
Journal of Computational Physics
SIAM Journal on Scientific Computing
Journal of Computational Physics
SIAM Journal on Numerical Analysis
Meshfree Particle Methods
Journal of Computational Physics
A Hybrid Phase Flow Method for Solving the Liouville Equation in a Bounded Domain
SIAM Journal on Numerical Analysis
Hi-index | 31.45 |
We present a two-dimensional time-dependent semiclassical transport model for mixed-state scattering with thin quantum films. The stationary Schrödinger equation is solved in the quantum barrier to obtain the scattering coefficients used to supply the interface condition that connects two classical domains. The solution in the classical regions is solved using a particle method and interface condition combined with the Hamiltonian-preserving scheme. The overall cost is roughly the same as solving a classical barrier. We construct a numerical method based on this semiclassical approach and validate the model using two numerical examples.