On Spin and Statistics in Quantum Mechanics

Peshkin, M

Published Jul 3, 2002• 1 citation

Abstract

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

Related papers

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/0207017Physical Review AApr 4, 200319 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 AOct 14, 200313 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 AOct 14, 200314 citations

Spin Top (Toward a Theorem on the Spin-Statistics Relation)

Evgenii Dmitrievich Trifonov

We propose a model of a spin particle as an analogue of a quantum mechanical top. We show that for this model, we can prove the theorem on the relation between spin and statistics in the framework of nonrelativistic quantum mechanics.

Theoretical and Mathematical PhysicsJun 1, 20190 citations

Spin & statistics in nonrelativistic quantum mechanics, II

Bernd Kuckert, Jens Mund

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/0411197Annalen der PhysikFeb 10, 20056 citations

On the spin-statistics theorem

Evgenii Dmitrievich Trifonov

Abstract The possibility of proving the theorem on the connection between spin and statistics in the nonrelativistic quantum mechanical framework is examined.

Physics-UspekhiFeb 5, 20172 citations