1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Hydrogenic atom

  1. Feb 22, 2009 #1
    1. The problem statement, all variables and given/known data

    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.

    2. Relevant 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

    3. The attempt at a solution
  2. jcsd
  3. Feb 23, 2009 #2
    think Bohr radius [tex] A_o = [/tex] Bohr radius
  4. Feb 23, 2009 #3


    User Avatar
    Science Advisor
    Homework Helper

    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.
  5. Feb 23, 2009 #4
    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
    Last edited: Feb 23, 2009
  6. Feb 23, 2009 #5
    please answer me ....
  7. Feb 25, 2009 #6
    i don't know what happen ..... some thing wrong ):
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook