 
Summary: Comment on ``Spin and statistics in nonrelativistic quantum mechanics: The spinzero case''
R. E. Allen and A. R. Mondragon
Center for Theoretical Physics, Texas A&M University, College Station, Texas 77843, USA
Received 11 April 2003; published 14 October 2003
We emphasize that there is no spinstatistics 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
spinstatistics connection, but the resulting theory is quite different from standard physics.
DOI: 10.1103/PhysRevA.68.046101 PACS number s : 03.65.Ta
It has been known for many years that there is a spin
statistics connection in relativistic quantum field theory
14 but not in nonrelativistic quantum mechanics 5 .
However, several recent papers 68 have led to some con
fusion regarding the second point.
Let us first remind ourselves why there is no spin
statistics theorem in nonrelativistic quantum mechanics. The
essential reason is that the restrictions that imply a spin
statistics connection in relativistic field theory are no longer
meaningful in nonrelativistic physics. For example, Wein
berg's textbook 3 provides a relatively simple and physical
proof based on microcausality, or the requirement that com
