Last Updated：2022/12/24
The basic mathematical entity to be used here in elucidating the different senses of superselection rules is a von Neumann algebra {{M, a concrete C * -algebra 6 of bounded linear operators acting on a Hilbert space 7 ℋ that is closed in the weak topology 8 or, equivalently, 9 that has the property that (𝔐′)′:=𝔐=𝔐, where “′” denotes the commutant.}}
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The
basic
mathematical
entity
to
be
used
here
in
elucidating
the
different
senses
of
superselection
rules
is
a
von
Neumann
algebra
{{M,
a
concrete
C
*
-algebra
6
of
bounded
linear
operators
acting
on
a
Hilbert
space
7
ℋ
that
is
closed
in
the
weak
topology
8
or,
equivalently,
9
that
has
the
property
that
(𝔐^′)^′:=𝔐=𝔐,
where
“′”
denotes
the
commutant.}}
