Relativistic particle in a three-dimensional box

被引：31

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

来源：

PHYSICS LETTERS A | 2011年 / 375卷 / 12期

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

页码：1436 / 1440

页数：5

共 7 条

[1]

Alberto P., 1996, European Journal of Physics, V17, P19, DOI 10.1088/0143-0807/17/1/004

[2]

Alonso V., 1997, European Journal of Physics, V18, P315, DOI 10.1088/0143-0807/18/5/001

[3]

BHADURI RK, 1988, MODELS NUCL QUARKS S, pCH2

[4] Discreteness of space from GUP II: Relativistic wave equations [J].

Das, Saurya ;

Vagenas, Elias C. ;

Ali, Ahmed Farag .

PHYSICS LETTERS B, 2010, 690 (04) :407-412

[5]

Greiner W., 2000, Relativistic quantum mechanics, V2

[6] Dirac particle in a box, and relativistic quantum Zeno dynamics [J].

Menon, G ;

Belyi, S .

PHYSICS LETTERS A, 2004, 330 (1-2) :33-40

[7]

THOMAS AW, 1984, ADV NUCL PHYS, V13, P1

← 1 →