 Solution

ID: past-exam-of-the-quantum-mechanics-quantum-theory-and-quantum-computers-course-of-the-university-of-oxford/2007/b/5/i/solution

For identical bosons the full wave function is symmetric under the particle exchange operator:

ψ (x_{2}, x_{1}) = ψ (x_{1}, x_{2}) .

In the given position-only model this is the spatial parity under the particle exchange operator. If additional spin variables are present, the symmetry applies to the complete state including them.

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