Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-11-11
Phys.Lett. A351 (2006) 379-383
Physics
High Energy Physics
High Energy Physics - Theory
13 pages
Scientific paper
10.1016/j.physleta.2005.11.033
The intrinsically relativistic problem of neutral fermions subject to kink--like potentials ($\sim \mathrm{tanh} \gamma x$) is investigated and the exact bound-state solutions are found. Apart from the lonely hump solutions for $E=\pm mc^{2}$, the problem is mapped into the exactly solvable Surm-Liouville problem with a modified P\"{o}schl-Teller potential. An apparent paradox concerning the uncertainty principle is solved by resorting to the concepts of effective mass and effective Compton wavelength.
de Castro Antonio Soares
Hott Marcelo
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