Question: Consider two free particles, and write down the wave function (in coordinate space) of this system (of distinguishable particles) for the case where the two

Consider two free particles, and write down the wave function (in coordinate space) of this system (of distinguishable particles) for the case where the two particles coincide, in terms of the total angular momentum $\vec{L}_{1}+\vec{L}_{2}$.

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