Proof of Key Operator Relations (a) FV[a] =V[1/a]F (b) Q[a]F = ejka FR[a] (c) V[a]R[z] =...

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Proof of Key Operator Relations (a) FV[a] =V[1/a]F (b) Q[a]F = e¯jka FR[a] (c) V[a]R[z] = e³kz (22−¹)R[z/a²]V[a] (d) S[s]Q[a] = Qs[a]G[—as]Q[a]S[5] a=-a/x² Proof of Key Operator Relations (a) FV[a] =V[1/a]F (b) Q[a]F = e¯jka FR[a] (c) V[a]R[z] = e³kz (22−¹)R[z/a²]V[a] (d) S[s]Q[a] = Qs[a]G[—as]Q[a]S[5] a=-a/x²

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