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Physics Letters A

Asymptotic localization and separation of states in quantum mechanics

Kay-Kong Wan, R. G. McLean

Published Mar 1, 1983• 11 citations
Publisher
DOI
10.1016/0375-9601(83)90447-4

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The asymptotic behaviour of quantum mechanical states at large times has been discussed in two recent papers by Wan and McLean (1983). In a third paper a detailed study of the corresponding behaviour of observables was made. The mathematical properties of asymptotic operators obtained are applied in this paper to establish an algebraic formulation of quantum mechanics which has the characteristic of being asymptotically separable. The age-old non-locality problem in quantum mechanics can then be effectively tackled.

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The asymptotic behaviour of quantum mechanical states at large times has been discussed in two recent papers by Wan and McLean (1983). In a third paper a detailed study of the corresponding behaviour of observables was made. The mathematical properties of asymptotic operators obtained are applied in this paper to establish an algebraic formulation of quantum mechanics which has the characteristic of being asymptotically separable. The age-old non-locality problem in quantum mechanics can then be effectively tackled.