We have theoretically investigated the electronic states in a core/shell pyramidal quantum dot with
GaAs core embedded in AlGaAs matrix. This system has a quite similar recent experimental realization
through a cone/shell structure [Phys. Status Solidi-RRL 13, 1800245 (2018)]. The research has been
performed within the efective mass approximation taking into account position-dependent efective
masses and the presence of external electric and magnetic felds. For the numerical solution of the
resulting three-dimensional partial diferential equation we have used a fnite element method. A
detailed study of the conduction band states wave functions and their associated energy levels is
presented, with the analysis of the efect of the geometry and the external probes. The calculation of
the non-permanent electric polarization via the of-diagonal intraband dipole moment matrix elements
allows to consider the related optical response by evaluating the coefcients of light absorption and
relative refractive index changes, under diferent applied magnetic feld confgurations
