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Bosons and Fermions

By definition, bosons are particles which obey Bose-Einstein statistics: when one swaps two bosons, the wavefunction of the system is unchanged.

Fermions, on the other hand, obey Fermi-Dirac statistics and the Pauli exclusion principle: two fermions cannot occupy the same quantum state as each other, resulting in a "rigidity" or "stiffness" of matter which includes fermions. Thus fermions are sometimes said to be the constituents of matter, while bosons are said to be the particles that transmit interactions (force carriers), or the constituents of radiation.

ADD:Some people divide matter into pure substances and mixtures. Pure substances are elements and compounds. Mixtures include homogeneous and heterogeneous mixtures. Some people divide matter into homogeneous matter and heterogeneous matter. Homogeneous matter includes pure substances and homogeneous mixtures (solutions). Heterogeneous matter is heterogeneous mixtures.

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