In this paper, the [Formula: see text]-matrix method and Wigner–Eisenbud functions (WEFs) are used to compute the transport properties of an electron scattered in a cylindrical nanowire doped with Aluminium Galium Arsenide (AlGaAs) in the scattering region. In these calculations, a Gaussian potential was used to represent the AlGaAs dopants. The nanowire is considered a closed system. By assuming quantum transport, the electron flows in an elastic process from source to drain. An electron with energy [Formula: see text] coming from the source can either be reflected or transmitted to the drain. One-dimensional (1D) and two-dimensional (2D) nanowire calculations were performed. The transmission coefficients show an inverse relation with the depth of the Gaussian potential and depend on the incident energy of the electron.