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arXiv · hep-th/0511129

Trapping neutral fermions with kink-like potentials

Antonio S. de Castro·Marcelo Hott
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Abstract

The intrinsically relativistic problem of neutral fermions subject to kink--like potentials ($\sim \mathrm{tanh} γx$) 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 Pöschl-Teller potential. An apparent paradox concerning the uncertainty principle is solved by resorting to the concepts of effective mass and effective Compton wavelength.

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Antonio S. de Castro, Marcelo Hott. 2005-11-24. Trapping neutral fermions with kink-like potentials. https://doi.org/10.1016/j.physleta.2005.11.033

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