-e? 1 The Coulomb potential energy between the proton and electron changes from V(r) =- 4πε, r -е еxp(-r/2) to V(r) =- 4πεο where the screening length, A, is much larger than the dimension of the r hydrogen atom. In this problem, ignore spin effects. Calculate the 1st order correction to the ground state energy using non-degenerate perturbation theory. Hint: Look up the ground state energy function from Griffiths in chapter 4. You will not need to plug numbers into this problem, however, you will need to do all the integrals to reach a nifty answer. You should use the fact that a,/1<<1 to make your life easier.

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-e 1
The Coulomb potential energy between the proton and electron changes from V(r) =-
4πε
-е еxp(-r/2)
to V(r) =-
4πε
where the screening length, A, is much larger than the dimension of the
r
hydrogen atom. In this problem, ignore spin effects. Calculate the 1st order correction to the
ground state energy using non-degenerate perturbation theory. Hint: Look up the ground state
energy function from Griffiths in chapter 4. You will not need to plug numbers into this problem,
however, you will need to do all the integrals to reach a nifty answer. You should use the fact that
a,/1<<1 to make your life easier.
Transcribed Image Text:-e 1 The Coulomb potential energy between the proton and electron changes from V(r) =- 4πε -е еxp(-r/2) to V(r) =- 4πε where the screening length, A, is much larger than the dimension of the r hydrogen atom. In this problem, ignore spin effects. Calculate the 1st order correction to the ground state energy using non-degenerate perturbation theory. Hint: Look up the ground state energy function from Griffiths in chapter 4. You will not need to plug numbers into this problem, however, you will need to do all the integrals to reach a nifty answer. You should use the fact that a,/1<<1 to make your life easier.
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