the eigen value equation for particle exchange operator is:
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Explanation:
Physical solutions must be eigenfunctions of ˆP12 (i.e., ˆH and ^P12 commute). Moveover, Equation 8.5. 9 argues that the eigenvalues of the Exchange Operator are either +1 (bosons) or −1 (fermions). The behavior of some particles requires that the wavefunction be symmetric with respect to permutation.
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