4 - Two particles Consider a one-dimensional square well of dimension a that contains two particles that do not interact

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4 - Two particles
Consider a one-dimensional square well of dimension a that contains
two particles that do not interact with each other. For the
coordinate system, use that the well is at −a/2 < x <
a/2.
a) Obtain the energies and wave functions if the particles are spin
0 bosons. What is the average distance between the particles in the
ground state?
b) Repeat part a) but now assuming they are fermions.
Quantum mechanics question