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Modular variables in quantum theory

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Abstract

The non-local aspects of interaction between quantum systems are investigated. These aspects are particularly conspicuous in quantum phenomena without a classical analog, such as the quantum effects of electromagnetic potentials. The study of the potential effect leads to the introduction of a new type of dynamical variable, the modular variable, which brings out the physical features of quantum mechanical non-locality.

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The material contained in this article is based on work done in the period 1965–67. This work was supported in part by O.A.R. Air Force Cambridge Research Laboratories, Bedford, Mass., U.S.A., under Contracts No. AF 19(629)-5143 and AF 19(628)-5833.

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Aharonov, Y., Pendleton, H. & Petersen, A. Modular variables in quantum theory. Int J Theor Phys 2, 213–230 (1969). https://doi.org/10.1007/BF00670008

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  • DOI: https://doi.org/10.1007/BF00670008

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