Question: Show that the function (r/a 0 ) e -r/2a0 is a solution of the following differential equation for l = 1. What is the eigenvalue?

Show that the function (r/a0) e-r/2a0is a solution of the following differential equation forl= 1.

h1(1 + 1) 2m,r e? 2dRr) 2m,r² dr |R(r) = E R(r).

What is the eigenvalue? Using this result, what is the value for the principal quantum number n for this function?

h1(1 + 1) 2m,r e? 2dRr) 2m,r dr |R(r) = E R(r).

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