Relativistic confinement of neutral fermions with a trigonometric tangent potential

被引：15
作者：
Castro, Luis B. [1 ]
de Castro, Antonio S. [1 ]
机构：
[1] UNESP, Dept Quim & Fis, BR-12516410 Guaratingueta, SP, Brazil
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2007年 / 40卷 / 02期
关键词：
D O I：
10.1088/1751-8113/40/2/005
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The problem of neutral fermions subject to a pseudoscalar potential is investigated. Apart from the solutions for E = +/- mc(2), the problem is mapped into the Sturm-Liouville equation. The case of a singular trigonometric tangent potential (similar to tan gamma x) is exactly solved and the complete set of solutions is discussed in some detail. It is revealed that this intrinsically relativistic and true confining potential is able to localize fermions into a region of space arbitrarily small without the menace of particle-antiparticle production.
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页码：263 / 270
页数：8
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