Subdomain-based exponential integrators for quantum Liouville-type equations

L Schulz, B Inci, M Pech, D Schulz - Journal of Computational Electronics, 2021‏ - Springer
In order to describe quantum mechanical effects, the use of the von-Neumann equation is
apparent. In this work, we present a unified numerical framework so that the von-Neumann …

Hybrid discontinuous galerkin approach for the solution of quantum liouville-type equations

V Ganiu, M Jaeger, D Schulz - IEEE Transactions on …, 2023‏ - ieeexplore.ieee.org
For the evaluation of charge carrier transport in quantum devices, quantum Liouville-type
equations (QLTE) have proven to be powerful as a starting point for the numerical analysis …

Numerical constraints and non-spatial open boundary conditions for the Wigner equation

R Kosik, J Cervenka, H Kosina - Journal of Computational Electronics, 2021‏ - Springer
We discuss boundary value problems for the characteristic stationary von Neumann
equation (stationary sigma equation) and the stationary Wigner equation in a single spatial …

Numerical solution of the constrained Wigner equation

R Kosik, J Cervenka, H Kosina - 2020 International Conference …, 2020‏ - ieeexplore.ieee.org
Quantum electron transport in modern semiconductor devices can be described by a Wigner
equation which is formally similar to the classical Liouville equation. The stationary Wigner …

[PDF][PDF] Numerische Methoden für die Analyse von Quantenbauelementen auf Grundlage der Liouville-von-Neumann-Gleichung

L Schulz - 2021‏ - eldorado.tu-dortmund.de
Heutzutage ist die numerische Modellierung des Transportverhaltens innerhalb von
Quantenbauelementen für die Analyse und das Design moderner Komponenten der …