Word Count : 368

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For a system of three identical fermions in a one-dimensional box of size \( A \), the total wave function must be antisymmetric under the exchange of any two particles. This means the spatial wave function must be antisymmetrized, and if the particles have spin, the total wave function (spatial + spin) must obey the Pauli exclusion principle. ### Step 1: Single-Particle Wave Functions The single-particle wave functions for a particle in a ________ _____ ___ __________ ___ ______ __________ ____ ___.
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