Semi-Relativistic Reflection and Transmission Coefficients for Two Spinless Particles Separated by a Rectangular-Shaped Potential Barrier |
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| Authors: | K E Thylwe O J Oluwadare K J Oyewumi |
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| Institution: | 1.KTH-Mechanics, Royal institute of Technology, S-100 44 Stockholm, Sweden;2.Department of Physics, Federal University Oye-Ekiti, P. M. B. 373, Ekiti State, Nigeria;3.Theoretical Physics Section, Department of Physics, University of Ilorin, P. M. B. 1515, Ilorin, Nigeria |
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| Abstract: | A generalized Schrödinger approximation, due to Ikhdair & Sever, of the semi-relativistic two-body problem with a rectangular barrier in (1+1) dimensions is compared with exact computations. Exact and approximate transmission and reflection coefficients are obtained in terms of local wave numbers. The approximate transmission and reflection coefficients turn out to be surprisingly accurate in an energy range |ε-V0|<2μ c2, where μ is the reduced mass, ε the scattering energy, and V0 the barrier top energy. The approximate wave numbers are less accurate. |
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| Keywords: | two-body relativistic equation rectangular barrier transmission 1+1D relativistic scattering semi-relativistic approximation spinless Salpeter equation |
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