2005/11/22 by Antonio S. de Castro, Marcelo Hott · 1 citation
Physics and Astronomy · #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #hep-th #quant-ph
paper · pdf · doi:10.1016/j.physleta.2005.11.033
published as Phys.Lett. A351 (2006) 379-383 · 13 pages
openalex publication_date 2005/11/22 · arxiv created 2005/11/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The intrinsically relativistic problem of neutral fermions subject to kink--like potentials (∼ tanh γx) 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 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.