Word Count : 188

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The permutation operator (\hat{P}*{12}) acts on a two-particle system by exchanging the states of particles 1 and 2. For two particles in states (|\psi_P\rangle) and (|\psi*{P'}\rangle), the action is defined as: [ \hat{P}*{12} \big( |\psi_P\rangle_1 \otimes |\psi*{P'}\rangle_2 ___ ______ ______ _______ __________ _____ __________ _________ ____ __________ _______ __________.
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______ _______.
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