ABSTRACT:
The connection between spin and statistics is usually proved by using
the full machinery of relativistic quantum field theory, providing
little insight into what physics actually underlies it or whether there
can be exceptional cases. I will show, using elementary methods of
ordinary nonrelativistic quantum mechanics that identical zero-spin
particles must obey symmetric statistics. The key assumption is that no
dynamical variable in the theory distinguishes among identical spin-zero
particles. Whether this approach can be extended to identical particles
with nonvanishing spin is currently uncertain. |