Variational method for calculating the binding energy of the base state of an impurity D^- centered on a quantum dot of GaAs-Ga1-xAlxAs

In quantum mechanics it is very difficult to obtain exact solutions, therefore, it is necessary to resort to tools and methods that facilitate the calculations of the solutions of these systems, one of these methods is the variational method that consists in proposing a wave function that depend on several parameters that are adjusted to get close to the exact solution. Authors in the past have performed calculations applying this method using exponential and Gaussian orbital functions with linear and quadratic correlation factors. In this paper, a Gaussian function with a linear correlation factor is proposed, for the calculation of the binding energy of an impurity D ^- centered on a quantum dot of radius r, the Gaussian function is dependent on the radius of the quantum dot.