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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2015, Issue 2(23), Pages 7–12
(Mi pfmt366)
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This article is cited in 4 scientific papers (total in 4 papers)
PHYSICS
Relativistic scattering s-states problem for superposition of two potentials «δ-sphere» type
V. N. Kapshai, Yu. A. Grishechkin F. Scorina Gomel State University, Gomel, Belarus
Abstract:
Exact solutions of relativistic two-particle equations for scattering s-states are obtained in cases of the δ-function potential and superposition of two δ-function potentials. Scattering amplitudes and phase shifts are calculated on the basis of wave functions found. The analysis of values obtained was carried out. As a result, the unitarity condition and vanishing conditions of scattering amplitudes are proved. It is shown that the non-relativistic limit of relativistic expressions obtained yields results which coincide with corresponding expressions which were found in the process of solving the Schrödinger equation.
Keywords:
relativistic two-particle equation, relativistic configurational representation, delta-function potential, scattering
amplitude, S-matrix, phase shift, unitarity condition, Ramsauer–Townsend effect.
Received: 15.05.2015
Citation:
V. N. Kapshai, Yu. A. Grishechkin, “Relativistic scattering s-states problem for superposition of two potentials «δ-sphere» type”, PFMT, 2015, no. 2(23), 7–12
Linking options:
https://www.mathnet.ru/eng/pfmt366 https://www.mathnet.ru/eng/pfmt/y2015/i2/p7
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Abstract page: | 162 | Full-text PDF : | 63 | References: | 49 |
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