Quantum Mechanics Solution Manual |
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© Leon van Dommelen |
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4.2.3.2 Solution anguc-b
Question:
Can you invert the statement about zero angular momentum and say: if a particle can be found at all angular positions compared to the origin with equal probability, it will have zero angular momentum?
Answer:
No. To be at zero angular momentum, not just the probability , but itself must be independent of the spherical coordinate angles and . As an arbitrary example, would have a probability of finding the particle independent of and , but not zero angular momentum.