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Semi-Relativistic Reflection and Transmission Coefficients for Two Spinless Particles Separated by a Rectangular-Shaped Potential Barrier
KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0003-0149-341X
2016 (English)In: Communications in Theoretical Physics, ISSN 0253-6102, E-ISSN 1572-9494, Vol. 66, no 4, 389-395 p.Article in journal (Refereed) Published
Abstract [en]

A generalized Schrodinger 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 vertical bar epsilon - Vo vertical bar < 2 mu c(2), where is the reduced mass, the scattering energy, and V-o the barrier top energy. The approximate wave numbers are less accurate.

Place, publisher, year, edition, pages
Institute of Physics Publishing (IOPP), 2016. Vol. 66, no 4, 389-395 p.
Keyword [en]
two-body relativistic equation, rectangular barrier transmission, 1+1D relativistic scattering, semi-relativistic approximation, spinless Salpeter equation
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-196614DOI: 10.1088/0253-6102/66/4/389ISI: 000386369800005ScopusID: 2-s2.0-84991583861OAI: diva2:1047423

QC 20161117

Available from: 2016-11-17 Created: 2016-11-17 Last updated: 2016-11-17Bibliographically approved

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