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Measures on Hilbert space and quantum states

Alexander Bach - No affiliation found

1983/02/28 Full-length article DOI: 10.1016/0375-9601(83)90211-6 Journal: Physics Letters A

Abstract:

AbstractA representation of quantum mechanics of one particle by means of integration in Hilbert space H is embedded into a multi-particle theory on boson Fock space F+. We prove that the grand canonical statistical operator on F+ can be represented by means of a gaussian measure on the one-particle Hilbert space H.