id author title date pages extension mime words sentences flesch summary cache txt work_jqlig7au4rajlbk6qi6etez25m Benjamin H. Feintzeig On the Choice of Algebra for Quantization 2018 28 .pdf application/pdf 11636 934 67 reduce the physical state space using algebraic methods alone. relations as the state space of our quantum theory. different algebra that one can use, which has exactly the physical state space the Algebraic Imperialist because it does not use Hilbert space methods. For example, the Weyl algebra allows for non-regular states (Halvorson, 2001, folium of an irreducible Hilbert space representation of the Weyl algebra, and algebra that leads to an appropriate collection of physical states. the algebras and state spaces we use for our quantum theories. results here to find a new algebra with precisely that state space. as physical states the density operators on a Hilbert space H with reduce the physical state space of her algebra in at least all of the ways the to density operator states in that representation, the Algebraic Imperialist density operator states on some irreducible Hilbert space representation. State Spaces of Operator Algebras. ./cache/work_jqlig7au4rajlbk6qi6etez25m.pdf ./txt/work_jqlig7au4rajlbk6qi6etez25m.txt