6. Show that: tm (r.0.) nim (r, 0, 0) r² sino do do dr = R(r)12 r2 dr given the following information: 1. Vaim(r,0,0) Ri(r)Y (0.4) 2. Spherical harmonics Y (6.) are normalized wave functions. 3. (0,0), (0,0)=(0,0) and R(r) R(r)r2dr = R(r)|² r² dr Hint: what is the integral that demonstrates that spherical harmonics are normalized?

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6.
Show that: tm (r.0.) nim (r, 0, 0) r² sino do do dr = R(r)12 r2 dr given the following information:
1. Vaim(r,0,0) Ri(r)Y (0.4)
2. Spherical harmonics Y (6.) are normalized wave functions.
3. (0,0), (0,0)=(0,0) and
R(r) R(r)r2dr = R(r)|² r² dr
Hint: what is the integral that demonstrates that spherical harmonics are normalized?
Transcribed Image Text:6. Show that: tm (r.0.) nim (r, 0, 0) r² sino do do dr = R(r)12 r2 dr given the following information: 1. Vaim(r,0,0) Ri(r)Y (0.4) 2. Spherical harmonics Y (6.) are normalized wave functions. 3. (0,0), (0,0)=(0,0) and R(r) R(r)r2dr = R(r)|² r² dr Hint: what is the integral that demonstrates that spherical harmonics are normalized?
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