Hey,
I am a physics year 3 undergraduate seeking to pursue a graduate education in the United States. I am from the Republic of Singapore, a commonwealth nation, with English as our official language. May I know if GRE is necessary for me to get into USA universities for graduate education?
Ashcroft is a bit long on text and short on pictures. What the diagram means is that it is actually showing the Energy values for a d orbital which should give 5 lines. Notice that in the first 2 diagrams there are only 3 and 4 each because of degeneracy. In other words, the solutions overlap