When quantizing a classical field theory, e.g. Klein-Gordon theory, the Hilbert space of one-particle states is taken to be a set of equivalence classes of (Lebesgue) measurable and square integrable solutions of the classical field equation, but how do you use the classical theory to construct(adsbygoogle = window.adsbygoogle || []).push({}); operatorson this Hilbert space?

I asked that question in a different way here (in the Topology & Geometry forum), but got no replies, so I'm trying again here.

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# Construction of a Hilbert space and operators on it

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