DKP equation with smooth barrier
Abstract
In this paper, we study the Duffin–Kemmer–Petiau (DKP) equation in the presence of a smooth barrier in dimensions space–time (1+1) dimensions. The eigenfunctions are determined in terms of the confluent hypergeometric function . The transmission and reflection coefficients are calculated, special cases as a rectangular barrier and step potential are analyzed. A numerical study is presented for the transmission and reflection coefficients graphs for some values of the parameters are plotted.
References
- 1. , Int. J. Theor. Phys. 43, 1147 (2004). Crossref, ISI, Google Scholar
- 2. , Int. J. Theor. Phys. 46, 2105 (2007). Crossref, ISI, Google Scholar
- 3. , Turk. J. Phys. 37, 63 (2013). Google Scholar
- 4. , Chin. Phys. B 22, 060306 (2013). Crossref, ISI, Google Scholar
- 5. , Commun. Theor. Phys. 71, 1069 (2019). Crossref, ISI, ADS, Google Scholar
- 6. , Proc. R. Soc. A 166, 127 (1938). Crossref, ADS, Google Scholar
- 7. , Phys. Rev. 54, 1114 (1938). Crossref, ADS, Google Scholar
- 8. , Acad. R. Belg. Cl. Sci. Mem. Collect 8, 16 (1936). Google Scholar
- 9. , Can. J. Phys. 98, 939 (2020). Crossref, ISI, ADS, Google Scholar
- 10. , Int. J. Mod. Phys. A 35, 2050140 (2020). Link, ISI, ADS, Google Scholar
- 11. , Int. J. Mod. Phys. A 21, 313 (2006). Link, ISI, ADS, Google Scholar
- 12. , Int. J. Mod. Phys. A 17, 4793 (2002). Link, ISI, Google Scholar
- 13. , Phys. Lett. A 198, 275 (1995). Crossref, ISI, ADS, Google Scholar
- 14. , Mod. Phys. Lett. A 17, 2049 (2002). Link, ISI, ADS, Google Scholar
- 15. , Eur. Phys. J. C 10, 71 (1999). Crossref, ISI, ADS, Google Scholar
- 16. , Phys. Lett. A 268, 165 (2000). Crossref, ISI, ADS, Google Scholar
- 17. , Gen. Relativ. Gravit. 34, 1941 (2002). Crossref, ISI, Google Scholar
- 18. , The Confluent Hypergeometric Function with Special Emphasis on its Applications, Vol. 15 (Springer Science & Business Media, 2013). Google Scholar
- 19. , Handbook of Mathematical Functions (Dover, New York, 1965). Google Scholar
- 20. F. W. J. Olver(eds.), NIST Handbook of Mathematical Functions Hardback and CD-ROM (Cambridge University Press, 2010). Google Scholar
You currently do not have access to the full text article. |
---|