Derivation of the Pauli exchange principle

Details Derivation of the Pauli exchange principle Derivation of the Pauli exchange principle

1999-06-14

arxiv.org/abs/quant-ph/9906046v1

Physics

Quantum Physics

5 pages, 1 figure

Scientific paper

Wave functions are generally written with arguments consisting of sets of ``particle'' coordinates and quantum numbers. Pauli derived a principle governing the exchange of pairs of sets that differ only in their spatial and spin component $(m_s)$ coordinates. This principle states that an exchange of two of these sets produces the same wave function except for its being multiplied by a factor of $(-1)^{2s}$. Pauli's proof is based upon quantum field operators and is difficult to understand. A much simpler proof, making use of properties of wave functions, is presented here.

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