Numerical studies of the electronic properties of low dimensional semiconductor heterostructures

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2004
Dikmen, Bora
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.
Citation Formats
B. Dikmen, “Numerical studies of the electronic properties of low dimensional semiconductor heterostructures,” Ph.D. - Doctoral Program, Middle East Technical University, 2004.