theorems:spin_statistics

Intuitive

Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party.

Concrete

particles with half-integer spin

particles with integer spin

Fermi-Dirac statistics

Bose-Einstein statistics

http://math.ucr.edu/home/baez/spin_stat.html
The spin-statistics connection: Some pedagogical remarks in response to Neuenschwander’s question by A. S. Wightman
A nice book on the topic is Pauli And The Spin-Statistics Theorem by Ian Duck, E.C.G. Sudarshan

Abstract

The standard reference is the book PCT, Spin and Statistics, and All That by Raymond F. Streater,

Why is it interesting?

The spin-statistics theorem tells us that there can be never two identical fermions in the same state (they anticommute), while there can be arbitrarily many identical bosons.

FAQ

Why are anticommutators needed in quantization of Dirac fields?: see https://physics.stackexchange.com/questions/17893/why-are-anticommutators-needed-in-quantization-of-dirac-fields

Spin-Statistics Theorem

Intuitive

Concrete

Abstract

Why is it interesting?

FAQ