Trapping neutral fermions with kink-like potentials

  • De Castro A
  • Hott M
  • 5

    Readers

    Mendeley users who have this article in their library.
  • 30

    Citations

    Citations of this article.

Abstract

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.

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

  • Antonio S. De Castro

  • Marcelo Hott

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free