Importance sampling

One needs to develop a special algorithm that runs only through the elements of the upper triangular matrix $\mathbf{g}$ and have $k$ as an index.

The expression to be derived in the following is of interest when computing the quantum force and the kinetic energy. It has the form

$$\frac{\mathbf{\nabla}_i\Psi_C}{\Psi_C} = \frac{1}{\Psi_C}\frac{\partial \Psi_C}{\partial x_i},$$

for all dimensions and with $i$ running over all particles.

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