Homework # 4 Chem. 1410 Assigned Feb 7, 2001. Due Feb 15 2001

- For
the H atom show that the L
_{z}and L^{2 }operators commute with the Hamiltonian. What is the significance of this?

- Is the
2p
_{x }orbital an eigenfunction of L_{z}? Of L^{2}? Show your work? Is the situation different for the 2p_{+}orbital?

- Show that the 1s ® 2s transition of the H atom is dipole forbidden.

- What is the average value of r for the 2s orbital of hydrogen? How does this differ from the most probable value of r?