# Identity, Geometry, Permutation And The Spin-Statistics Theorem

@article{York1999IdentityGP, title={Identity, Geometry, Permutation And The Spin-Statistics Theorem}, author={Michael J. York}, journal={arXiv: Quantum Physics}, year={1999} }

We examine historic formulations of the spin-statistics theorem from a point of view that distinguishes between the observable consequences and the ``symmetrization postulate''. In particular, we make a critical analysis of concepts of particle identity, state distinguishability and permutation, and particle ``labels''. We discuss how to construct unique state vectors and the nature of the full state descriptions required for this -- in particular the elimination of arbitrary $2\pi$ rotations…

## 6 Citations

### Permutation Symmetry For Many Particles

- Mathematics
- 1999

We consider the implications of the Revised Symmetrization Postulate 1 for states of more than two particles. We show how to create permutation symmetric state vectors and how to derive alternative…

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Reasonable requirements of (a) physical invariance under particle permutation and (b) physical completeness of state descriptions [1], enable us to deduce a Symmetric Permutation Rule(SPR): that by…

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Reasonable requirements of (a) physical invariance under particle permutation and (b) physical completeness of state descriptions [1], enable us to deduce a Symmetric Permutation Rule(SPR): that by…

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The spin-statistics connection is derived in a simple manner under the postulates that the original and the exchange wave functions are simply added, and that the azimuthal phase angle, which defines…

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- 2003

The spin-statistics connection is derived in a simple manner under the postulates that the original and the exchange wave functions are just added, and that the azimuthal phase angle, which defines…

### Exclusion Principles as Restricted Permutation Symmetries

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- 2003

We give a derivation of exclusion principles for the elementary particles of the standard model, using simple mathematical principles arising from a set theory of identical particles. We apply the…

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