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Physical Review A

Comment on “Spin and statistics in nonrelativistic quantum mechanics: The spin-zero case”

Roland E. Allen, Alfonso Mondragón

Published Oct 14, 2003• 13 citations
Publisher

Abstract

We emphasize that there is no spin-statistics connection in nonrelativistic quantum mechanics. In several recent papers [including Phys. Rev. A 67, 042102 (2003)], quantum mechanics is modified so as to force a spin-statistics connection, but the resulting theory is quite different from standard physics.
DOI
10.1103/physreva.68.046101

Related papers

No spin-statistics connection in nonrelativistic quantum mechanics

Roland E. Allen, Alfonso Mondragón

We emphasize that there is no spin-statistics connection in nonrelativistic quantum mechanics. In several recent papers, including Phys. Rev. A 67, 042102 (2003) [quant-ph/0207017], quantum mechanics is modified so as to force a spin-statistics connection, but the resulting theory is quite different from standard physics.

arXiv:quant-ph/0304088•Apr 12, 2003•3 citations

Reply to “Comment on ‘Spin and statistics in nonrelativistic quantum mechanics: The spin-zero case’ ”

Murray Peshkin

The preceding Comment states that I have assumed the conclusion in my proof from nonrelativistic quantum mechanics that spin-zero particles must be bosons, and that the theory presented is different from standard quantum mechanics. I show here that neither of those statements is true.

Physical Review A•Oct 14, 2003•14 citations

Reply to "No spin-statistics connection in nonrelativistic quantum mechanics"

Murray Peshkin

In a previous paper [quant-ph/0207017] I gave an elementary proof, starting from stated assumptions of nonrelativistic quantum mechanics, that identical spin-zero particles must be bosons. Since then it has been suggested that my proof assumed its conclusion, and that it is based on a theory "quite different from standard physics." [quant-ph/0304088] I show here that those two statements are incorrect.

arXiv:quant-ph/0306189•Jun 27, 2003•3 citations

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It is proved from stated assumptions of nonrelativistic quantum mechanics based on the Schroedinger equation that identical spin-zero particles must obey symmetric statistics.

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Abstract Recently a sufficient and necessary condition for Pauli's spin‐statistics connection in nonrelativistic quantum mechanics has been established [1]. The two‐dimensional part of this result is extended to n ‐particle systems and reformulated and further simplified in a more geometric language.

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Recently a sufficient and necessary condition for Pauli's spin-statistics connection in nonrelativistic quantum mechanics has been established [1]. The two-dimensional part of this result is extended to n-particle systems and reformulated and further simplified in a more geometric language.

arXiv:quant-ph/0411197•Annalen der Physik•Feb 10, 2005•6 citations