State (Functional Analysis)
In
functional analysis
, a
state
on a
C*-algebra
is a
positive linear functional
of
norm
1. The set of states on a C*-algebra
A
with identity is a
compact
convex set
in the weak*-topology. In the C*-algebraic formulation of quantum mechanics, states in this previous sense correspond to physical states.
See also
pure state
GNS construction
Quantum mechanics
Quantum state
density state
coherent state
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