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Can the Statistical Interpretation of Quantum Mechanics be Inferred from the Schrödinger Equation?—Bell and Gottfried

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Abstract

In his paper titled ‘Against “measurement” ’ [Physics World 3(8), 33–40 [1990]], Bell criticised arguments that use the concept of measurement to justify the statistical interpretation of quantum theory. Among these was the text of Gottfried [Quantum Mechanics (Benjamin, New York, [1966])]. Gottfried has replied to this criticism, claiming to show that, for systems with both continuous and discrete degrees of freedom, the statistical interpretation for the discrete variables is implied by requiring that the continuous variables are described classically. In the present paper, Gottfried’s argument is criticised. It is suggested that he takes over aspects of classical physics which are in conflict with the classical limit of the Schrödinger equation. He incorrectly assumes that, in the output from a Stern-Gerlach apparatus, the wave-function of any ion is restricted to one or another of the beams.

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  1. Department of Physics, Queen’s University Belfast, Belfast, Northern Ireland, BT7 1NN

    M. A. B. Whitaker

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Whitaker, M.A.B. Can the Statistical Interpretation of Quantum Mechanics be Inferred from the Schrödinger Equation?—Bell and Gottfried. Found Phys 38, 436–447 (2008). https://doi.org/10.1007/s10701-008-9211-7

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