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Field theory onR×S 3 topology. I: The Klein-Gordon and Schrödinger equations

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Abstract

A Klein-Gordon-type equation onR×S 3 topology is derived, and its nonrelativistic Schrödinger equation is given. The equation is obtained with a Laplacian defined onS 3 topology instead of the ordinary Laplacian. A discussion of the solutions and the physical interpretation of the equation are subsequently given, and the most general solution to the equation is presented.

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  1. Center for Theoretical Physics, Ben-Gurion University of the Negev, 84105, Beer-Sheva, Israel

    M. Carmeli

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  1. M. Carmeli
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Carmeli, M. Field theory onR×S 3 topology. I: The Klein-Gordon and Schrödinger equations. Found Phys 15, 175–184 (1985). https://doi.org/10.1007/BF00735289

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  • DOI: https://doi.org/10.1007/BF00735289

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