Fortran code question for quantum mechanics

You do not have to solve the programs if you don't want. But I need the code that can solve the problem in Fortran

n this assignment we apply the so-called quantum Monte Carlo method to find the ground sate energy and wavefunction for simple potentials. The method is related to the variational principle. Suppose we have a trial function y(x) and calculate the average energy for a system described by a Hamiltonian H according to: (E) Note that this expression is general and works even when y(x is not normalized. Then we vary the trial function and recalculate the energy. If we figure the new energy has a lower value we know it must be a better trial. The trial function thus gets carriedto the next round. By repeating the procedure many times we expect to obtain a good approximation to the ground state wave-function and its energy Question: (1) For the potential of a simple harmonic oscillator v(x) x2, and starting from a trial functioncos (5x)e 2x Run code and make a graph with the following curves. y(x), E), V(x), together with the exact ground state wavefunction (un-normalized) Exp( The graph is to be plotted against coordinate x and l recommend the following scales (-4