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e sin 0 de Explain (again) why each side of this equation m be a constant, which we can call -k. Derive the r and 0 equations (8.54) and (8.53). 8.3 (8.105) SECTION 8.6 (Quantization of Angular Momentum) Consider the vector model for the case 1= 2. Referring to Fig. 8.14, find the minimum possible angle between L and the z axis. .16) to evalu- , дх/дф, and 8.105) to find noticing that 8.24 (a) Draw a vector model diagram similar Fig. 8.14 for angular momentum of magnitude give by = 1. (b) How many possible orientations a there? (c) What is the minimum angle between L and (r), evaluate your answers the z axis? The magnitude of L. is L VII+1)A Since L- 2 component is mh, and values (8.63), there are for the case /- 2. We can 1 orientation of L is quan- r axis - VIU+ 1)A -2.4A -A L was sometimes called 2A ial about the z axis. When ase the z direction as the the Schrödinger equation If we had chosen the x uld have produced states ent it makes no difference we will continue to work FIGURE 8.14 Classical representation of the quantized values of angular momentum L. for the case / 2 The z component has (21 + 1) 5 possible values, L-mh with m 2, 1,0, -1, -2. The magnitude of L is advanced books it is shown o angular momentum and ously have definite values L-VIl+ 1)A- V2 x 3h 2.4h in all five cases. 0 <

e sin 0 de Explain (again) why each side of this equation m be a constant, which we can call -k. Derive the r and 0 equations (8.54) and (8.53). 8.3 (8.105) SECTION 8.6 (Quantization of Angular Momentum) Consider the vector model for the case 1= 2. Referring to Fig. 8.14, find the minimum possible angle between L and the z axis. .16) to evalu- , дх/дф, and 8.105) to find noticing that 8.24 (a) Draw a vector model diagram similar Fig. 8.14 for angular momentum of magnitude give by = 1. (b) How many possible orientations a there? (c) What is the minimum angle between L and (r), evaluate your answers the z axis? The magnitude of L. is L VII+1)A Since L- 2 component is mh, and values (8.63), there are for the case /- 2. We can 1 orientation of L is quan- r axis - VIU+ 1)A -2.4A -A L was sometimes called 2A ial about the z axis. When ase the z direction as the the Schrödinger equation If we had chosen the x uld have produced states ent it makes no difference we will continue to work FIGURE 8.14 Classical representation of the quantized values of angular momentum L. for the case / 2 The z component has (21 + 1) 5 possible values, L-mh with m 2, 1,0, -1, -2. The magnitude of L is advanced books it is shown o angular momentum and ously have definite values L-VIl+ 1)A- V2 x 3h 2.4h in all five cases. 0 <

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For Problem 8.23, how do I manage to get an angle that best fits what the problem is asking for? 

e sin 0 de Explain (again) why each side of this equation m be a constant, which we can call -k. Derive the r and 0 equations (8.54) and (8.53). 8.3 (8.105) SECTION 8.6 (Quantization of Angular Momentum) Consider the vector model for the case 1= 2. Referring to Fig. 8.14, find the minimum possible angle between L and the z axis. .16) to evalu- , дх/дф, and 8.105) to find noticing that 8.24 (a) Draw a vector model diagram similar Fig. 8.14 for angular momentum of magnitude give by = 1. (b) How many possible orientations a there? (c) What is the minimum angle between L and (r), evaluate your answers the z axis?
Transcribed Image Text:e sin 0 de Explain (again) why each side of this equation m be a constant, which we can call -k. Derive the r and 0 equations (8.54) and (8.53). 8.3 (8.105) SECTION 8.6 (Quantization of Angular Momentum) Consider the vector model for the case 1= 2. Referring to Fig. 8.14, find the minimum possible angle between L and the z axis. .16) to evalu- , дх/дф, and 8.105) to find noticing that 8.24 (a) Draw a vector model diagram similar Fig. 8.14 for angular momentum of magnitude give by = 1. (b) How many possible orientations a there? (c) What is the minimum angle between L and (r), evaluate your answers the z axis?
The magnitude of L. is L VII+1)A Since L- 2 component is mh, and values (8.63), there are for the case /- 2. We can 1 orientation of L is quan- r axis - VIU+ 1)A -2.4A -A L was sometimes called 2A ial about the z axis. When ase the z direction as the the Schrödinger equation If we had chosen the x uld have produced states ent it makes no difference we will continue to work FIGURE 8.14 Classical representation of the quantized values of angular momentum L. for the case / 2 The z component has (21 + 1) 5 possible values, L-mh with m 2, 1,0, -1, -2. The magnitude of L is advanced books it is shown o angular momentum and ously have definite values L-VIl+ 1)A- V2 x 3h 2.4h in all five cases. 0 <
Transcribed Image Text:The magnitude of L. is L VII+1)A Since L- 2 component is mh, and values (8.63), there are for the case /- 2. We can 1 orientation of L is quan- r axis - VIU+ 1)A -2.4A -A L was sometimes called 2A ial about the z axis. When ase the z direction as the the Schrödinger equation If we had chosen the x uld have produced states ent it makes no difference we will continue to work FIGURE 8.14 Classical representation of the quantized values of angular momentum L. for the case / 2 The z component has (21 + 1) 5 possible values, L-mh with m 2, 1,0, -1, -2. The magnitude of L is advanced books it is shown o angular momentum and ously have definite values L-VIl+ 1)A- V2 x 3h 2.4h in all five cases. 0 <
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