Physics · Quantum Mechanics
The ground state wavefunction for the hydrogen atom is given by Ψ0 = 1√πa03 e-r/a0 where a0 is the Bohr radius. Considering an additional potential H' as a perturbation to the hydrogen atom Hamiltonian, given by H' = e24πε0 [1r - 1R] for 0 R, where R is the radius of the proton (R << a0). The first-order shift in the ground state energy due to H' is closest to:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(e24πε0a0) 2R23a02✓
- 2-(e24πε0a0) 2R2a02
- 3(e24πε0a0) R2a02
- 4(e24πε0a0) 4R23a02
Correct answer
(e24πε0a0) 2R23a02
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