6533b826fe1ef96bd1285160
RESEARCH PRODUCT
Analysis of the finite difference time domain technique to solve the Schrödinger equation for quantum devices
Jorge A. PortíEnrique A. NavarroV. SuchAntonio Sorianosubject
PhysicsEigenvalues and eigenfunctionsElectromagneticsQuantum dotsElectromagnetic devicesQuantum wiresUNESCO::FÍSICAFinite-difference time-domain methodFinite difference methodGeneral Physics and AstronomyFinite difference time-domain analysisStability (probability)Schrodinger equationSchrödinger equationsymbols.namesakeQuantum well devices:FÍSICA [UNESCO]Quantum dotQuantum mechanicsConvergence (routing)symbolsApplied mathematicsSchrodinger equation ; Electromagnetic devices ; Finite difference time-domain analysis ; Quantum dots ; Quantum well devices ; Quantum wires ; Eigenvalues and eigenfunctionsQuantumdescription
An extension of the finite difference time domain is applied to solve the Schrödinger equation. A systematic analysis of stability and convergence of this technique is carried out in this article. The numerical scheme used to solve the Schrödinger equation differs from the scheme found in electromagnetics. Also, the unit cell employed to model quantum devices is different from the Yee cell used by the electrical engineering community. A bound for the time step is derived to ensure stability. Several numerical experiments in quantum structures demonstrate the accuracy of a second order, comparable to the analysis of electromagnetic devices with the Yee cell. a!Electronic mail: Antonio.Soriano-Asensi@uv.es b!Electronic mail: Enrique.Navarro@uv.es c!Electronic mail: jporti@ugr.es d!Electronic mail: Vicente.Such@uv.es
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2004-06-15 | Journal of Applied Physics |