Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:quant-ph/0411197 · Annalen der Physik

Spin & statistics in nonrelativistic quantum mechanics, II

Bernd Kuckert, Jens Mund

Published Feb 10, 2005• 6 citations
arXivHTMLPDF

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.
DOI
10.1002/andp.200410129

Related papers

Spin & statistics in nonrelativistic quantum mechanics, II

Bernd Kuckert, Jens Mund

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.

Annalen der Physik•Mar 2, 2005•0 citations

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

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

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)], quantum mechanics is modified so as to force a spin-statistics connection, but the resulting theory is quite different from standard physics.

Physical Review A•Oct 14, 2003•13 citations

Non-relativistic proofs of the spin-statistics connection

Anil Shaji, E. C. G. Sudarshan

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.

arXiv:quant-ph/0306033•Jun 4, 2003•7 citations

Spin and statistics in nonrelativistic quantum mechanics: The spin-zero case

Murray Peshkin

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

arXiv:quant-ph/0207017•Physical Review A•Apr 4, 2003•19 citations

On Spin and Statistics in Quantum Mechanics

Peshkin, M

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

•Jul 3, 2002•1 citation
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.