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Hidden symmetries of the two-particle dirac equation with linear interaction

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Abstract

We investigate Lie and non-Lie symmetries of the two-particle Dirac equation with linear interaction in the one-dimensional case. The integrals of motion and hidden parasupersymmetries are found. By using algebraic method and non-Lie symmetries, we obtain the energy spectra of the considered system

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Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 48, No. 9, pp. 1295–1296, September, 1996.

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Tretinik, V.V. Hidden symmetries of the two-particle dirac equation with linear interaction. Ukr Math J 48, 1470–1472 (1996). https://doi.org/10.1007/BF02595367

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  • DOI: https://doi.org/10.1007/BF02595367

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