Q7:1 Show that (a) [Ly, L:] = iħLz, (b) L: (L-Ytm) = (qm – ħ) (L¯Ytm) (c) the operator L* = L, +iLy is not a hermitian operator. (Note L, and Ly are hermitian operators.]

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Angular Momentum Quantum Theory

Q7:1 Show that
(a)
[Ly, L:] = iħLz,
(b) L- (L-Ytm) = (qm – ħ) (L-Ytm)
(c) the operator L* = L, +iLy is not a hermitian operator.
[Note L, and Ly are hermitian operators.]
Transcribed Image Text:Q7:1 Show that (a) [Ly, L:] = iħLz, (b) L- (L-Ytm) = (qm – ħ) (L-Ytm) (c) the operator L* = L, +iLy is not a hermitian operator. [Note L, and Ly are hermitian operators.]
Îy = ¿pz – îpz
Î = îpy – ŷPz
-ih(z;
-iħ(x-
dz
Transcribed Image Text:Îy = ¿pz – îpz Î = îpy – ŷPz -ih(z; -iħ(x- dz
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