Indistinguishability for quantum particles: spin, statistics and the geometric phase

@inproceedings{Berry1997IndistinguishabilityFQ,
  title={Indistinguishability for quantum particles: spin, statistics and the geometric phase},
  author={Michael V. Berry and J. M. Robbins},
  year={1997}
}
The quantum mechanics of two identical particles with spin S in three dimensions is reformulated by employing not the usual fixed spin basis but a transported spin basis that exchanges the spins along with the positions. Such a basis, required to be smooth and parallel-transported, can be generated by an ‘exchange rotation’ operator resembling angular momentum. This is constructed from the four harmonic oscillators from which the two spins are made according to Schwinger9s scheme. It emerges… CONTINUE READING

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