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
相关论文
共 50 条
  • [31] Algorithms of the Potential Field Calculation in a Three-Dimensional Box
    G. V. Rudenko
    S. A. Anfinogentov
    Solar Physics, 2017, 292
  • [32] Three-dimensional spreading of prestressing forces in box girders
    He, Zhi-Qi
    Hong, Hao
    Liu, Zhao
    Ma, Zhongguo John
    STRUCTURES, 2021, 33 : 4803 - 4816
  • [33] Algorithms of the Potential Field Calculation in a Three-Dimensional Box
    Rudenko, G. V.
    Anfinogentov, S. A.
    SOLAR PHYSICS, 2017, 292 (08)
  • [34] Particle Selection Strategy for Three-dimensional Particle Image Velocimetry
    Meng Juan
    Li Muguo
    Du Hai
    Meng Juan
    PROCEEDINGS OF THE 2009 2ND INTERNATIONAL CONGRESS ON IMAGE AND SIGNAL PROCESSING, VOLS 1-9, 2009, : 1330 - 1334
  • [35] On the influence of wakefields on three-dimensional particle arrangements
    Kroll, M.
    Schablinski, J.
    Block, D.
    Piel, A.
    PHYSICS OF PLASMAS, 2010, 17 (01)
  • [36] Particle acceleration in three-dimensional tearing configurations
    Nodes, C
    Birk, GT
    Lesch, H
    Schopper, R
    PHYSICS OF PLASMAS, 2003, 10 (03) : 835 - 844
  • [37] Particle acceleration in three-dimensional separator reconnection
    Akbari, Z.
    Hosseinpour, M.
    Mohammadi, M. A.
    ADVANCES IN SPACE RESEARCH, 2023, 72 (08) : 3454 - 3463
  • [38] Particle diffusion on a three-dimensional random sea
    J. M. Buick
    I. G. Morrison
    T. S. Durrani
    C. A. Greated
    Experiments in Fluids, 2001, 30 : 88 - 92
  • [39] A three-dimensional particle roundness evaluation method
    Nie, Zhihong
    Liang, Zhengyu
    Wang, Xiang
    GRANULAR MATTER, 2018, 20 (02)
  • [40] Three-dimensional boundary detection for particle methods
    Haque, Aamer
    Dilts, Gary A.
    JOURNAL OF COMPUTATIONAL PHYSICS, 2007, 226 (02) : 1710 - 1730