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Electron Motion of the Helium ion and H-atom.

Consider the helium ion: 4, 2 He+, which has two protons and two neutrons in its nucleus.
a. What are the two main differences in the description of the motion of the electron in this ion compared to that in in H-atom.
b. Write down the normalized first excited state wave function u_210 for this ion. Define your symbols very clearly. No derivation is needed.
c. Show explicitly that the function u_210 in (b) is indeed an eigenfunction of the angular momentum square operator L^2 with eigenvalue for the angular momentum equal to h*2^1/2

Solution Summary

This solution describes the main differences on the motion of the electron, states the normalized first excited state wave function, and shows how the function is an eigenfunction.