How Does the Finite Size of the Nucleus Affect Hydrogen's Ground State Energy?

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SUMMARY

The discussion centers on calculating the correction to the ground state energy of the hydrogen atom due to the finite size of the nucleus, modeled as a thin shell with radius r0. Participants seek assistance in identifying the perturbation involved in this calculation. A recommended resource for understanding time-independent perturbation theory is provided, specifically a link to a course material from the University of Virginia.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with perturbation theory
  • Knowledge of the hydrogen atom model
  • Basic grasp of nuclear physics concepts
NEXT STEPS
  • Study the principles of time-independent perturbation theory
  • Review the hydrogen atom's wave functions and energy levels
  • Explore the effects of nuclear size on atomic structure
  • Investigate advanced quantum mechanics textbooks for deeper insights
USEFUL FOR

Students and researchers in quantum mechanics, particularly those focusing on atomic physics and perturbation theory, will benefit from this discussion.

andyfreesty1e
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Homework Statement


calculate the correction to the energy of the ground state of the hydrogen atom due to the finite size of the nucleus treating the nuclear charge as a thin shell of radius r0.

I posted this not that long ago, i know what to do but i just can't figure out what the perturbation is, so any help in finding what the perturbation is will be very very helpful

thanks

Homework Equations





The Attempt at a Solution

 
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andyfreesty1e said:

Homework Statement


calculate the correction to the energy of the ground state of the hydrogen atom due to the finite size of the nucleus treating the nuclear charge as a thin shell of radius r0.

I posted this not that long ago, i know what to do but i just can't figure out what the perturbation is, so any help in finding what the perturbation is will be very very helpful

thanks

Homework Equations





The Attempt at a Solution


Reading http://galileo.phys.virginia.edu/classes/752.mf1i.spring03/Time_Ind_PT.htm" will surely help you!

AB
 
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