Relativistic particle in a three-dimensional box

被引:30
|
作者
Alberto, Pedro [2 ,3 ]
Das, Saurya [4 ]
Vagenas, Elias C. [1 ]
机构
[1] Acad Athens, Res Ctr Astron & Appl Math, GR-11527 Athens, Greece
[2] Univ Coimbra, Dept Fis, P-3004516 Coimbra, Portugal
[3] Univ Coimbra, Ctr Fis Computac, P-3004516 Coimbra, Portugal
[4] Univ Lethbridge, Dept Phys & Astron, Theoret Phys Grp, Lethbridge, AB T1K 3M4, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
D O I
10.1016/j.physleta.2011.02.030
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We generalize the work of Alberto, Fiolhais and Gil and solve the problem of a Dirac particle confined in a 3-dimensional box. The non-relativistic and ultra-relativistic limits are considered and it is shown that the size of the box determines how relativistic the low-lying states are. The consequences for the density of states of a relativistic fermion gas are briefly discussed. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码:1436 / 1440
页数:5
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