Ground state energy in Optical Spectroscopy & Atomic Structure

AI Thread Summary
The discussion centers on the relationship between the ground state energy of Hydrogen, which is 13.6 eV, and that of Helium. It highlights the challenge of determining the exact ground state energy for neutral Helium, noting that only numerical approximations can be made. In contrast, an exact solution can be found for singly-ionized Helium (He+). Participants suggest clarifying the problem to ensure it pertains to He+ if an exact answer is sought. Understanding the distinction between neutral and ionized states is crucial for solving the problem effectively.
sheri1987
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Homework Statement



I just want to know if there is a relationship between the ground state of Hydrogen which is 13.6 eV and the ground state of Helium. The problem is asking me to find the ground state of Helium, but I am not sure how to go about it. Any advice?

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The Attempt at a Solution

 
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It is not possible to find an exact solution for the ground (or any other) state in neutral helium atoms. Only numerical approximations are possible.

However, if the problem is actually asking to find the ground state in singly-ionized helium, He+, an exact solution is possible. Can you clarify what the problem is really asking for?
 
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