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hellosir
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For a particle in the state Y(l=3, m=+2), how do I find <Lx^2> + <Ly^2> ? I'm lost. THanks!
The angular momentum expectation value is a measure of the average angular momentum of a quantum mechanical system. It is calculated by taking the product of the wavefunction and the angular momentum operator and integrating over all space.
According to the uncertainty principle, the more precisely we know the angular momentum of a system, the less precisely we can know its position. This is because the angular momentum expectation value involves both position and momentum operators, and their uncertainties are inversely related.
Yes, the angular momentum expectation value can be negative. This indicates that the system has a negative average angular momentum, which could be due to the presence of a negative spin or orbital angular momentum.
The angular momentum expectation value can vary depending on the quantum state of the system. For example, in an s orbital, the angular momentum expectation value is zero, while in a p orbital, it is non-zero and depends on the quantum number l. Higher quantum states with larger l values will have larger angular momentum expectation values.
The angular momentum expectation value is typically measured through spectroscopic techniques, such as observing the energy levels of atoms or molecules. By studying the energy differences between different levels, the angular momentum expectation value can be determined and compared to theoretical predictions.