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The angular momentum operator is given by L = F x p. (a) Assuming we are in cartesian space, prove that [Li, Lj] = ihej iheij Lk. (b) Define the ladder operators as L₁ = L₁ iL2. Show that L² = L+L FhL3 + L3.

The angular momentum operator is given by L = F x p. (a) Assuming we are in cartesian space, prove that [Li, Lj] = ihej iheij Lk. (b) Define the ladder operators as L₁ = L₁ iL2. Show that L² = L+L FhL3 + L3.

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The angular momentum operator is given by L = F x p. (a) Assuming we are in cartesian space, prove that [Li, Lj] = iheij Lk. (b) Define the ladder operators as L₁ = L₁ iL2. Show that L² = L+L FhL3 + L3.
Transcribed Image Text:The angular momentum operator is given by L = F x p. (a) Assuming we are in cartesian space, prove that [Li, Lj] = iheij Lk. (b) Define the ladder operators as L₁ = L₁ iL2. Show that L² = L+L FhL3 + L3.
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