Exact solutions have been obtained for relativistic one-dimensional integral equations that describe the scattering of two particles with potentials of the “delta function n-th derivative” type for n = 1, 2, 3. Based on the solutions, the transmission and reflection coefficients have been found and some their properties have been investigated.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 9–15, June, 2009.
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Kapshai, V.N., Grishechkin, Y.A. Relativistic equations with some point potentials. Russ Phys J 52, 554–563 (2009). https://doi.org/10.1007/s11182-009-9275-7
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DOI: https://doi.org/10.1007/s11182-009-9275-7