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It depends if we look at particle as classical ones or quantum ones. In the first case, particles are usually following a Boltzmann statistics. However, things become more interesting when entering the quantum world. Here, the spin of the particles become crucial. We have that particles with integer spin follow a Bose-Einstein statistics. Whereas particles ...


Basically, you need to use the Heisenberg-Lagrange-Hamilton approach...starting by the field Lagrangian that leads to Dirac wave equation; then you have to quantize the field by using a mode expansion in which the fermionic field is expressed in terms of the free solutions of the Dirac equation which as you know are spinor solutions. For instance, the ...

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