dorsal/arxiv
View SchemaNon-relativistic proofs of the spin-statistics connection
| Authors | Anil Shaji, E. C. G. Sudarshan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0306033 |
| URL | https://arxiv.org/abs/quant-ph/0306033 |
Abstract
A recent paper by Peshkin [1] has drawn attention again to the problem of understanding the spin statistics connection in non-relativistic quantum mechanics. Allen and Mondragon [2] has pointed out correctly some of the flaws in Peshkin's arguments which are based on the single valuedness under rotation of the wave functions of systems of identical particles. We examine carefully the claim that is made in the title of [2] that there can be ``no spin-statistics connection in non-relativistic quantum mechanics''. We show that we can derive the spin statistics connection for non-relativistic quantum field theories which have equations of motion of the Hamiltonian type based on SU(2) invariance of the Lagrangian. The formalism and machinary of non-relativistic quantum field theory as opposed to usual quantum mechanics is necessary for constructing our proof.
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"abstract": "A recent paper by Peshkin [1] has drawn attention again to the problem of\nunderstanding the spin statistics connection in non-relativistic quantum\nmechanics. Allen and Mondragon [2] has pointed out correctly some of the flaws\nin Peshkin\u0027s arguments which are based on the single valuedness under rotation\nof the wave functions of systems of identical particles. We examine carefully\nthe claim that is made in the title of [2] that there can be ``no\nspin-statistics connection in non-relativistic quantum mechanics\u0027\u0027. We show\nthat we can derive the spin statistics connection for non-relativistic quantum\nfield theories which have equations of motion of the Hamiltonian type based on\nSU(2) invariance of the Lagrangian. The formalism and machinary of\nnon-relativistic quantum field theory as opposed to usual quantum mechanics is\nnecessary for constructing our proof.",
"arxiv_id": "quant-ph/0306033",
"authors": [
"Anil Shaji",
"E. C. G. Sudarshan"
],
"categories": [
"quant-ph"
],
"title": "Non-relativistic proofs of the spin-statistics connection",
"url": "https://arxiv.org/abs/quant-ph/0306033"
},
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