1. Problem: Consider Hydrogen in its ground state in a magnetic field of magnitude B. Compute the effect of the magnetic field on the hyperfine structure of Hydrogen (that is you should include the interaction of both the proton and electron magnetic moments with the applied magnetic field). Give the values of the energy eigenvalues for B = 1 gauss and for B = 104 gauss. 2. Relevant equations the hamiltonian for a dipole moment is H=-μB μp=gpeSp/2mp μe=-eSe/me F=J+I where F is the atom's total angular momentum 3. The attempt at a solution well, i think that the Hamiltonian looks like: H=μeBp+Bext(μe+μp) so do we just act this H on the ground state wave function?