A matter of degree: Putting unitary inequivalence to work

Philosophy of Science 70 (5):1329-1342 (2003)
If a classical system has infinitely many degrees of freedom, its Hamiltonian quantization need not be unique up to unitary equivalence. I sketch different approaches (Hilbert space and algebraic) to understanding the content of quantum theories in light of this non‐uniqueness, and suggest that neither approach suffices to support explanatory aspirations encountered in the thermodynamic limit of quantum statistical mechanics.
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DOI 10.1086/377411
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