In: Physics
a)Does the vibrational frequency of an O-H bond depend on whether it is horizontal or vertical at the surface of the Earth? Suppose that a harmonic oscillator of mass m is held vertically, so that it experiences a perturbation V(x)=mgx, where g is the acceleration of free fall. Calculate the first order correction to the energy of the ground state.
b) Repeat the previous exercise to find the change in excitation energy from v=1 to v=2 in the presence of the perturbation.