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In: Physics

We have a system of two identical particles which are in the individual states of |φ...

  1. We have a system of two identical particles which are in the individual states of and (φψ=0).
  1. Calculate appropriate system state for both fermion and boson cases
  2. We want to measure the observable A common to both particles. This observable has non-degenerate and discrete spectrum, i.e, A|ui=ai|ui. Immediately after the measurement calculate the probability P(an,am) for measuring an eigenvalue for one of the particles and am for the other. What would happen to the probability if right after the measurement n were equal to m (|un=|um ) for both fermion and boson cases.
  3. If the particles were distinguishable, recalculate the above results and compare each cases with respect to each other.

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