dorsal/arxiv
View SchemaReply to "Non-relativistic proofs of the spin-statistics connection," by Shaji and Sudarshan
| Authors | Murray Peshkin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0402118 |
| URL | https://arxiv.org/abs/quant-ph/0402118 |
Abstract
I earlier proved under stated assumptions of nonrelativistic quantum mechanics, that identical spin-zero particles with no internal degrees of freedom must be bosons. Shaji and Sudarshan have criticized that proof, asserting that it is "based on single-valuedness under rotation of the wave functions of systems of identical particles." No such assumption was used. Here, to remove all doubt, I exclude the fermion possibility through a proof in which even the existence of rotation is not used. Following that, I assume that the Hilbert space is invariant under rotation to exclude other symmetries which correspond neither to bosons nor to fermions. In that proof no issue of single-valuedness can arise.
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"abstract": "I earlier proved under stated assumptions of nonrelativistic quantum\nmechanics, that identical spin-zero particles with no internal degrees of\nfreedom must be bosons. Shaji and Sudarshan have criticized that proof,\nasserting that it is \"based on single-valuedness under rotation of the wave\nfunctions of systems of identical particles.\" No such assumption was used.\nHere, to remove all doubt, I exclude the fermion possibility through a proof in\nwhich even the existence of rotation is not used. Following that, I assume that\nthe Hilbert space is invariant under rotation to exclude other symmetries which\ncorrespond neither to bosons nor to fermions. In that proof no issue of\nsingle-valuedness can arise.",
"arxiv_id": "quant-ph/0402118",
"authors": [
"Murray Peshkin"
],
"categories": [
"quant-ph"
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"title": "Reply to \"Non-relativistic proofs of the spin-statistics connection,\" by Shaji and Sudarshan",
"url": "https://arxiv.org/abs/quant-ph/0402118"
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