getallPsis()

Write a routine of the below prototype in ``physics.c'' which calls getPsi() to generate all of the wave functions $\Psi_{n\ell}$ for l=0..lmax and, for each l, n=0..nmax[l]. A suitable code fragment is

                    .
                    .
  for (l=0; l<=lmax; l++)
    for (n=0; n<=nmax[l]; n++)
      getPsi(Psi[l][n],E[l][n],l,V,r,dr,N);
                    .
                    .

Note that the object Psi[l][n] is, as getPsi expects, actually a pointer to the first storage location among the elements Psi[l][n][0..N]. (Note also that your ``getallPsis'' routine will be rather short.)

void getallPsis(double ***Psi,double **E,
		int lmax, int *nmax,
		double *V,
		double r[], double dr[], int N)

Output:

• Psi[l][n][k]: values of $\Psi_{n\ell}(r[k])$ (properly normalized) for wave functions with angular momentum $\ell$ and with n nodes

Input:

• E[l][n]: matrix of energies of states of angular momentum l and with n=0..nmax[l] nodes
• lmax: maximum angular momentum to consider (l=0..lmax)
• nmax[l]: maximum number of nodes sought for angular momentum l
• V[]: potential
• r[], dr[], N: standard grid information