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

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Physics

  1. We have a system of two identical particles which are in theindividual states of |φ and |ψ(φψ=0).
  1. Calculate appropriate system state for both fermion and bosoncases
  2. We want to measure the observable Acommon to both particles. This observable has non-degenerate anddiscrete spectrum, i.e,A|ui=ai|ui.Immediately after the measurement calculate the probabilityP(an,am)for measuring an eigenvalue for one of theparticles and am for the other. What would happento the probability if right after the measurement n wereequal to m(|un=|um) for both fermion and boson cases.
  3. If the particles were distinguishable, recalculate the aboveresults and compare each cases with respect to each other.

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