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Spin
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Spin and Statistics (The Spin-Statistics Theorem)
One of the most profound connections in quantum field theory relates the spin of a particle to the statistical behavior of systems composed of identical particles. This connection is formalized by the Spin-Statistics Theorem.
The theorem dictates that particles with half-integer spin (fermions) must obey Fermi-Dirac statistics, which necessitates the antisymmetry of the total wave function upon particle exchange. Conversely, particles with integer spin (bosons) must obey Bose-Einstein statistics, requi…