Trapping neutral fermions with kink-like potentials
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Elsevier B.V.
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Abstract
The intrinsically relativistic problem of neutral fermions subject to kink-like potentials (similar to tanh gamma x) is investigated and the exact bound-state solutions are found. Apart from the lonely hump solutions for E = +/- mc(2), the problem is mapped into the exactly solvable Sturm-Liouville problem with a modified Poschl-Teller potential. An apparent paradox concerning the uncertainty principle is solved by resorting to the concepts of effective mass and effective Compton wavelength. (c) 2005 Elsevier B.V. All rights reserved.
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Physics Letters A. Amsterdam: Elsevier B.V., v. 351, n. 6, p. 379-383, 2006.
