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3. Consider a rigid rotor whose Hamiltonian is given by H L2(21) where L is the angular momentum operator and I is the...

3. Consider a rigid rotor whose Hamiltonian is given by H L2(21) where L is the angular momentum operator and I is the moment

3. Consider a rigid rotor whose Hamiltonian is given by H L2(21) where L is the angular momentum operator and I is the moment of inertia of the rotator. Its rotation is described by a wave function: (0, N{Yo0(0,6)(1 3i) Y1-1(0,6) 2 Y21(0.0) Y20(0.) Find the normalization constant, N. (i) Find the probability to occupy state Yo0- (ii Find the expectation value of L2 of this state (iii Find the expectation value of L2 of this state (iv) Find (L2L2/21 acting on Y2-1 and Y20, respectively (v)
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H-021 Grenen N/Yoo (0,0)+ (1+3i)Y (0, 4) + 2%-1 (0,0 ) + Y,o (0,) Ce,p)- th 1= <Al> 1 t IN 6+ 1+91= 1 N 4 stect to Yoo, occup W httP d) <z<142 14 mt Yem Lz Yom o+ (+31) (-t) Y,-1 2(-) Y2,-1 4- + 1- (6 LV 2 e) 2 I 2I 2 2 LttLLLL_ L+ L++L CL-L-)2 +7-E7)

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