Symbolic-numeric algorithms for computer analysis of spheroidal quantum dot models

摘要: A computational scheme for solving elliptic boundary value problems with axially symmetric confining potentials using different sets of one-parameter basis functions is presented. The efficiency the proposed symbolic-numerical algorithms implemented in Maple shown by examples spheroidal quantum dot models, which energy spectra and eigenfunctions versus spheroid aspect ratio were calculated within conventional effective mass approximation. Critical values ratio, at discrete spectrum models finite-wall transformed into a continuous one strong dimensional quantization regime, revealed exact adiabatic classifications.