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26 lines
905 B
Plaintext
26 lines
905 B
Plaintext
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Review of Exam 2
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V = ⎧ 1/2 k r² (x>0)
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⎨
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⎩ ∞ (x<0)
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Gives the set L𝓍,L²,H due to x-symmetry
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(pic) schrodinger equations for radial and angular components
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(pic x2) working through asymptotic behaviours of diffEQ
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followed asymptotic approach and then set up a series polynomial solution
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for the final F(r)
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(pic) still working through derivatives of the polynomial solution
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(pic) Use the "series shift" to combine terms.
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(pic) basically just continuing to prepare terms (2/r dR/dr in this case)
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to plug back into the main differential equation
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the final answer gives a relationship between the coeffiecients cᵢ.
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