Consider a particle of mass u and charge e in the central potential. V(r) = 4or' e Απεργ 0 R where the Coulombic force is shielded. The difference can be considered negligible if the parameter →0. Consider this difference as a perturbation and calculate the first order correction of the ground state energy.

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Consider a particle of mass u and charge e in the central potential.
V(r) =
2
4Teor
e
4περι
2
-e-X(r-R),
0<r < R
R<r <∞
This potential differs from the Coulombic potential only in the region r > R where the Coulombic
force is shielded. The difference can be considered negligible if the parameter → 0. Consider this
difference as a perturbation and calculate the first order correction of the ground state energy.
Transcribed Image Text:Consider a particle of mass u and charge e in the central potential. V(r) = 2 4Teor e 4περι 2 -e-X(r-R), 0<r < R R<r <∞ This potential differs from the Coulombic potential only in the region r > R where the Coulombic force is shielded. The difference can be considered negligible if the parameter → 0. Consider this difference as a perturbation and calculate the first order correction of the ground state energy.
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