Trapping neutral fermions with kink-like potentials

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The intrinsically relativistic problem of neutral fermions subject to kink-like potentials (∼tanhγx) is investigated and the exact bound-state solutions are found. Apart from the lonely hump solutions for E=±mc2, the problem is mapped into the exactly solvable Sturm-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. © 2005 Elsevier B.V. All rights reserved.




De Castro, A. S., & Hott, M. (2006). Trapping neutral fermions with kink-like potentials. Physics Letters, Section A: General, Atomic and Solid State Physics, 351(6), 379–383.

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