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On effects of non-Euclidean geometry in quantum theory

Yu. A. Sitenko·N. D. Vlasii
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Abstract

Theory of scattering of a quantum-mechanical particle on a cosmic string is developed. S-matrix and scattering amplitude are determined as functions of the flux and the tension of the string. We reveal that, in the case of the nonvanishing tension, the high-frequency limit of the differential scattering cross section does not coincide with the differential cross section for scattering of a classical pointlike particle on a string.

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Yu. A. Sitenko, N. D. Vlasii. 2004-12-18. On effects of non-Euclidean geometry in quantum theory. https://arxiv.org/abs/hep-th/0412212

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