

Article
Semirelativistic reflection and transmission coefficients for two spinless particles separated by a rectangularshaped potential barrier
Authors: 
Thylwe, K.E., Oluwadare, O. J., Oyewumi, K.J. 
Document Type: 
Article 
Pubstate: 
Accepted 
Journal: 
Commun. Theor. Phys. 
Volume: 
66
389–395 
Year: 
2016 
AbstractA generalized Schr ?odinger approximation, due to Ikhdair & Sever, of the semirelativistic twobody 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 ? ? V_0 < 2?c^2, where ? is the reduced mass, ? the scattering energy and V_0 the barrier top energy. The approximate wave numbers are less accurate.

