Loading...
Please wait, while we are loading the content...
Similar Documents
Numerically Absorbing Boundary Conditions for Quantum Evolution Equations
| Content Provider | Paperity |
|---|---|
| Author | Arnold, Anton |
| Abstract | Transparent boundary conditions for the transient Schrödinger equation on a domain Ω can be derived explicitly under the assumption that the given potential V is constant outside of this domain. In 1D these boundary conditions are non-local in time (of memory type). For the Crank-Nicolson finite difference scheme, discrete transparent boundary conditions are derived, and the resulting scheme is proved to be unconditionally stable. A numerical example illustrates the superiority of discrete transparent boundary conditions over existing ad-hoc discretizations of the differential transparent boundary conditions. As an application of these boundary conditions to the modeling of quantum devices, a transient 1D scattering model for mixed quantum states is presented. |
| File Format | HTM / HTML |
| ISSN | 1065514X |
| DOI | 10.1155/1998/38298 |
| Journal | VLSI Design |
| Volume Number | 6 |
| Language | English |
| Publisher | Hindawi |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
| Subject | Computer Graphics and Computer-Aided Design Electrical and Electronic Engineering Hardware and Architecture |
