How can a Hamiltonian determine the Hilbert space? – physics.stackexchange.com

How can a Hamiltonian determine the Hilbert space? – physics.stackexchange.com

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Sometimes, when discussing quantum field theory, people speak as if a Hamiltonian determines what the Hilbert space is. For example, in this answer AccidentalFourierTransform says Imagine an $H_0$ ...

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