suppose you know the values for r, theta, and phi which specify a point. what are the corresponding values of x,y,z? Write an expression for x as a function or r, theta,and phi; then do the same for x,y,z. Using the answer to the previous question write the angular parts of the three l=1 wavefuncions in Cartesian coordinates and what can you say about the symmetries of each of these wavefunctions?

Question

suppose you know the values for r, theta, and phi which specify a point. what are the corresponding values of x,y,z? Write an expression for x as a function or r, theta,and phi; then do the same for x,y,z.  Using the answer to the previous question write the angular parts of the three l=1 wavefuncions in Cartesian coordinates and what can you say about the symmetries of each of these wavefunctions?