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21 lines
620 B
Plaintext
21 lines
620 B
Plaintext
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V = E͟_͟Z͟ (?)
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r
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❬r❙E,l,mₗ❭ ≝ R(𝐫) ≝ U͟(𝐫͟)
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r
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∂²/∂r² (u/r) + 2/r ∂/∂r U/r
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= ∂/∂r (1/r (∂/∂r u) - u/r²) + 2/r ((1/r ∂/∂r u) - u/r²)
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= 1/r (∂²/∂r² u) - 2/r^2 ∂/∂r u + 2 u/r³ + 2/r² ∂/∂r u - 2u/r³
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= 1/r (∂²/∂r² u)
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So,
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(-ħ/2m ∂²/∂r² + Veff(│r│)) = V(│r│) + l͟(l͟+͟1͟)ħ͟²͟
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2mr²
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| ↓ |
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Centrifugal
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barrier
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