qm5q10

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We start with the assumption that the wave function for the 2s state has the form

where and are to be determined.

The Schrödinger Equation for the s-states of Hydrogen is

and then it is

Assuming that the exponential is eventually going to cancel, provided all goes well, cross multiplying by , and collecting the terms multiplying 1/r, we have

which we re-write as

which works if , so that

Use `me' for the mass of the electron, and `hbar', `Z', `e', and numbers to give a formula for alpha.
Answer for alpha =
$student_id/ time_stamp:3:53 ,Wednesday, May 22, 20113
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