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Foundations of Physics Letters

Superselection rules and fluctuations in the Many-Hilbert-Spaces approach to quantum measurement

Mikio Namiki, Saverio Pascazio

Published Jun 1, 1991• 13 citations
Publisher
DOI
10.1007/bf00665753

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Superselection Rules

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For orthodox quantum systems, pure states correspond one-to-one to all one-dimensional subspaces and observables correspond one-to-one to all selfadjoint operators in the state space. A relaxation of this one-to-one correspondence will bring about superselection rules. A general formulation of superselection rules is technically complicated. 1 We shall adopt an intuitive approach here and limit our discussion to some special cases to see how superselection rules can be incorporated in a Hilbert space structure of quantum theory.

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Proposed Photon Interference Experiment for Test of Quantum Measurement Theories

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We propose a possible experimental test of quantum measurement theories by means of a photon interference experiment, focusing on distinction between the many-Hilbert-spaces theory and the environment-induced-superselection-rule theory or the many-worlds interpretation.

Progress of Theoretical Physics•Nov 1, 1987•6 citations
For orthodox quantum systems, pure states correspond one-to-one to all one-dimensional subspaces and observables correspond one-to-one to all selfadjoint operators in the state space. A relaxation of this one-to-one correspondence will bring about superselection rules. A general formulation of superselection rules is technically complicated. 1 We shall adopt an intuitive approach here and limit our discussion to some special cases to see how superselection rules can be incorporated in a Hilbert space structure of quantum theory.