Relativistic particle in a three-dimensional box
Quantum Physics
2011-11-10 v2 Quantum Gases
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Atomic Physics
Abstract
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.
Cite
@article{arxiv.1102.3192,
title = {Relativistic particle in a three-dimensional box},
author = {Pedro Alberto and Saurya Das and Elias C. Vagenas},
journal= {arXiv preprint arXiv:1102.3192},
year = {2011}
}
Comments
v1: 8 pages, 2 figures, revtex4; v2: minor typos corrected to match published version in Phys. Lett. A