Trapping neutral fermions with kink-like potentials

Abstract

The intrinsically relativistic problem of neutral fermions subject to kink--like potentials ($\sim \tanh \gamma x$) is investigated and the exact bound-state solutions are found. Apart from the lonely hump solutions for $E=\pm m{c}^2$, 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.

13 pages

References in corpus (1)

• Bounded solutions of neutral fermions with a screened Coulomb potential

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