Consider the particle in a one-dimensional box (0 s x s l). assume a term is added to the hamiltonian of the form: πχ v(x)g sin sketch the potential and the expected eigenfunction (small g). in the limit of small g, find the second order correction to the ground state energy 2. (50 points) for a diatomic molecule rotating in free space, the hamiltonian may be written: 12 21 where l is the total angular momentum operator, and i is a constant (the moment of inertia). remember (0 eigenfunctions for the θ π; 0 φ 1 state are: 2π) and d-sin θ d θ d φ.