1. The radial equation for R(r) is given by, 1 d(2 dR 2µ h? e(l+1) \R = 0 + E-V - p? dr dr 2µ r2 Using the radial wave function R21 for n = 2 and l = 1 for the electron in a Coulomb potential (i.e. the Hydrogen atom) show that the radial equation is satisfied. Find the resulting energy, and comment on whether or not this consistent with the Bohr model.
1. The radial equation for R(r) is given by, 1 d(2 dR 2µ h? e(l+1) \R = 0 + E-V - p? dr dr 2µ r2 Using the radial wave function R21 for n = 2 and l = 1 for the electron in a Coulomb potential (i.e. the Hydrogen atom) show that the radial equation is satisfied. Find the resulting energy, and comment on whether or not this consistent with the Bohr model.
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Transcribed Image Text:1. The radial equation for R(r) is given by,
dR
1 d
p2 dr
h? e(E +1)
R = 0
.2
E-V
dr
2µ r?
Using the radial wave function R21 for n = 2 and l = 1 for the electron in a Coulomb
potential (i.e. the Hydrogen atom) show that the radial equation is satisfied. Find the resulting
energy, and comment on whether or not this consistent with the Bohr model.
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