Observables and Pure States
In this section we specify the key algebraic and functional-analytic structures relevant to classical and quantum mechanics. Our main aim is to look at a C*- algebra from the point of view of its self-adjoint part. From this perspective the relationship between the respective algebraic structures of classical and quantum mechanics is particularly transparent.
KeywordsPure State Poisson Bracket Symplectic Manifold Poisson Structure Poisson Algebra
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