In the Theory and Problem Formulation section, we highlight three main limitations in our past model, that are mostly consequence of its non-polarizability, and provide theoretical means to overcome them. In particular, we use a slightly modified, yet equivalent, version of a proof previously derived by Katriel et al., that deals with quantum mechanical systems with degenerate ground states, as a theoretical foundation to this improved version of our model. We favor this version of this proof as it is consistent with the style of notation adopted in the theoretical derivation our previous model. We also present a model, in the form a minimization problem, that allows the atomic contributions of the electron density of the molecules in the system to change based on its environment. This minimization problem, like similar others found in the literature, is interpreted as a self-energy minimization of the electron clouds. Moreover, like many of these other methods, the minimization problem we propose simply involves a quadratic function which translates to having to solve a system of linear equations, therefore eliminating any convergence re-lated issues. Conservation of charge is guaranteed with a Lagrange multiplier.