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Hydrogenic atom

  • Thread starter eman2009
  • Start date
  • #1
35
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Homework Statement



using first-order perturbation theory ,estimate the correction to the ground state energy of a hydrogenic atom due to the finite size of the nucleus, assume it's spherical nucleus.

Homework Equations



you can employ the fact that the electrostatic potential fi
fi=Ze/R(3/2-r^/2R^ ,if r<R

=Ze/r ,if r>R

fi is elctrostatic potential

R is radius, chargeZe

The Attempt at a Solution

 

Answers and Replies

  • #2
115
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think Bohr radius [tex] A_o = [/tex] Bohr radius
 
  • #3
malawi_glenn
Science Advisor
Homework Helper
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22
can you please write down the potential "fi" more clear?

is it

[tex]\phi = \frac{Ze(3/2 -r^2/(2R^2))}{R}[/tex] ?? or

[tex]\phi = \frac{Ze}{R(3/2 -r^2/(2R^2)}[/tex]

Also show attempt to solution, you have to show some effort in order to get help. Read the rules of this forum.
 
  • #4
35
0
sorry
the second one is
fi=Ze/r only
and the first one is correct
there is two equation for fi .....

i tryed to treat (fi) as (V) ,my question is how i can applay the perturbation theory in the same time using radial equation ? if i use perturbation theory what is (ebsay)
is it
1/(squarbi a^3).e^-r/a
for ground state
thanks
 
Last edited:
  • #5
35
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please answer me ....
 
  • #6
35
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i don't know what happen ..... some thing wrong ):
 

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