Trapping neutral fermions with kink-like potentials

被引：28
作者：
de Castro, AS
Hott, M
机构：
[1] UNESP, Dept Quim & Fis, BR-12516410 Guaratingueta, SP, Brazil
[2] Univ Coimbra, Ctr Fis Computac, P-3004516 Coimbra, Portugal
来源：
PHYSICS LETTERS A | 2006年 / 351卷 / 06期
基金：
巴西圣保罗研究基金会;
关键词：
D O I：
10.1016/j.physleta.2005.11.033
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
引用
收藏
页码：379 / 383
页数：5
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