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Java Programming Question Re-posted:

Use the second order Verlet method as presented in class to solve for the eigenvalues of the hydrogen atom with potential V(r) = -1/r. Working in atomic units (length in Bohr radus and energy in Hartree, (1/2)Hartree = 13.6 ev) corresponding to setting 2/m = 1. To compute the first few eigenvalues of each angular momentum l = 0, 1, 2, 3, use the following artificial hard wall method. Let's pretend that the nucleus is fixed at the origin and is enclosed by an infinite spherical wall at r = C. That is, the radial wavefunction must obey the condition u(r = C) = 0. First, pick l = 0 and construct a do-loop to systematical increases the energy e from -1 to 0 (spanning the entire spectrum of the hydrogen atom) in steps of 0.001. At each value of e, starting at the origin, set u(0) = u_0 = 0.0, dr = 0.01, u_1 = u(dr) = 0.01, u(n * dr), and integrate the radial wavefunction out to r = 25 (use double precision). Whenever the wave function crosses zero, (that is, whenever u_n * u_n-1