Related papers: Parity as the foundation of the non-relativistic spin-statistics connection

Parity as the foundation of the non-relativistic spin-statistics connection

URL: http://arxiv.org/abs/2203.05106v1
Date: Thu, 10 Mar 2022 01:42:56 GMT
Title: Parity as the foundation of the non-relativistic spin-statistics connection
Authors: Dmitri V. Averin
Abstract summary: It is shown that the symmetry under parity of the wavefunctions of two identical particles with an arbitrary spin accounts for the appropriate wavefunction exchange statistics under the permutations of particles. The standard properties of the angular momentum in non-relativistic quantum mechanics account for the sign factor $(-1)2s$ that the wavefunctions acquire under the permutation of coordinates of the two particles.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: It is shown that the symmetry under parity of the wavefunctions of two identical particles with an arbitrary spin $s$ in three spatial dimensions accounts for the appropriate wavefunction exchange statistics under the permutations of particles. The standard properties of the angular momentum in non-relativistic quantum mechanics account for the sign factor $(-1)^{2s}$ that the wavefunctions acquire under the permutation of coordinates of the two particles, without any additional requirements, directly relating spin and the particle exchange statistics in the non-relativistic context.

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