# Consider the n = 5, € = 3, m = 2, m. = 1/2 hydrogen atom eigenfunction. (i) What is the length…

Problem 2

Consider the n = 5, € = 3, m = 2, m. = 1/2 hydrogen atom eigenfunction. (i) What is the length of the orbital angular momentum of the electron in this state? (ii) What is the z-component of the electron’s orbital angular momentum? (iii) What is the energy of this state in hartrees? (iv) What is the degeneracy of this energy level when spin is not included? (v) What is the degeneracy of this energy level when spin is included?

(vi) What is the formula that expresses energy of the atom in this state when a constant magnetic field Bz is applied in the z-direction?