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Andy123
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Homework Statement
For a hydrogen-like “atom” (e.g., He+ ion), with nuclear charge Ze, it is claimed that the the ground-state wavefunction is spherically symmetric and is given by ψ(r)=Aexp(−αr) , where A and α are constant. (a) Determine the normalization constant A in terms of α. (b) Determine α by making use of (Eq.3) in the lecture note (Ch.9 pg 4). Note that you need to make some change in the equation before applying it to this system. Hence, find the ground state energy.
The mentioned equation here is attached below. The R in the equation refers to ψ(r) and l is the orbital quantum number[/B]
Homework Equations
The Attempt at a Solution
I can finish part a) but for part b), i substitute ψ(r)=Aexp(−αr) and try to solve for α. It comes up with the following result and I am stuck. please help![/B]
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