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Consider two non-interacting particles in an infinite square well. One is in a state ψm, the...

Consider two non-interacting particles in an infinite square well. One is in a state ψm, the other in a state ψn with n≠m. Let’s assume that ψm and ψn are the ground state and 1st excited state respectively and that the two particles are identical fermions. The well is of width 1Å. What is the probability of finding a particle in the 1st excited state in a region of width 0.01Å? Does this change if the particles are distinguishable?

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