An efficient numerical method for solving Schrödinger's and Poisson's equations using a basis set of cubic B-splines is investigated. The method is applied to find both the wave functions and the corresponding eigenenergies of low-dimensional semiconductor structures. The computational efficiency of the method is explicitly shown by the multiresolution analysis, non-uniform grid construction and imposed boundary conditions by applying it to well-known single electron potentials. The method compares well with the results of analytical solutions and of the finite difference method.Ph.D. - Doctoral Progra
Nonparabolicity effects in two-dimensional electron systems are quantitatively analyzed. A formalism...
Due to the enormous progress in computer technology and numerical methods that has been achieved ove...
Ab-initio methods for calculating electronic structure represent an important field of material phys...
An efficient method for the low-dimensional semiconductor structure is investigated. The method is a...
AbstractThe work in this thesis is focussed on obtaining fast, efficient solutions to the Schroeding...
We present a scheme for a rapid solution of a general three-dimensional Schrödinger equation. The Ha...
We present a new discretisation scheme for the Schrödinger equation based on analytic solutions to l...
A reduced-order-based representation of the Schrödinger equation is investigated for electron wave f...
A numerical method and corresponding computer algorithm for solving the one-dimensional radial Schrö...
Numerical solution of electronic structures can be obtained using finite element method. Starting wi...
This paper investigates the augmented plane wave methods which are widely used in full-pot...
We present a new discretisation scheme for the Schrödinger equation based on analytic solutions to l...
The numerical modeling of nanoscale electron devices needs the development of accurate and efficient...
We present a scheme for a rapid solution of a general three-dimensional Schrödinger equation. The Ha...
We present a fast and robust method for the full-band solution of Schrödinger's equation on a grid, ...
Nonparabolicity effects in two-dimensional electron systems are quantitatively analyzed. A formalism...
Due to the enormous progress in computer technology and numerical methods that has been achieved ove...
Ab-initio methods for calculating electronic structure represent an important field of material phys...
An efficient method for the low-dimensional semiconductor structure is investigated. The method is a...
AbstractThe work in this thesis is focussed on obtaining fast, efficient solutions to the Schroeding...
We present a scheme for a rapid solution of a general three-dimensional Schrödinger equation. The Ha...
We present a new discretisation scheme for the Schrödinger equation based on analytic solutions to l...
A reduced-order-based representation of the Schrödinger equation is investigated for electron wave f...
A numerical method and corresponding computer algorithm for solving the one-dimensional radial Schrö...
Numerical solution of electronic structures can be obtained using finite element method. Starting wi...
This paper investigates the augmented plane wave methods which are widely used in full-pot...
We present a new discretisation scheme for the Schrödinger equation based on analytic solutions to l...
The numerical modeling of nanoscale electron devices needs the development of accurate and efficient...
We present a scheme for a rapid solution of a general three-dimensional Schrödinger equation. The Ha...
We present a fast and robust method for the full-band solution of Schrödinger's equation on a grid, ...
Nonparabolicity effects in two-dimensional electron systems are quantitatively analyzed. A formalism...
Due to the enormous progress in computer technology and numerical methods that has been achieved ove...
Ab-initio methods for calculating electronic structure represent an important field of material phys...