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arXiv:quant-ph/0304088v112Apr2003 No spin-statistics connection in nonrelativistic quantum mechanics
 

Summary: arXiv:quant-ph/0304088v112Apr2003
No spin-statistics connection in nonrelativistic quantum mechanics
R. E. Allen and A. R. Mondragon
Center for Theoretical Physics, Texas A&M University, College Station, Texas 77843
(Dated: April 12, 2003)
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.
PACS numbers: 03.65.Ta
It has been known for many years that there is a spin-
statistics connection in relativistic quantum field the-
ory [1-4] but not in nonrelativistic quantum mechan-
ics [5]. However, several recent papers [6-8] have led to
some confusion regarding the second point.
Let us first remind ourselves why there is no spin-
statistics theorem in nonrelativistic quantum mechan-
ics. The essential reason is that the restrictions that im-
ply a spin-statistics connection in relativistic field theory
are no longer meaningful in nonrelativistic physics. For

  

Source: Allen, Roland E. - Department of Physics and Astronomy, Texas A&M University

 

Collections: Physics