Relativistic particle in a three-dimensional box

Details Relativistic particle in a three-dimensional box Relativistic particle in a three-dimensional box

2011-02-15

arxiv.org/abs/1102.3192v2

Phys.Lett.A375:1436-1440,2011

Physics

Quantum Physics

v1: 8 pages, 2 figures, revtex4; v2: minor typos corrected to match published version in Phys. Lett. A

Scientific paper

10.1016/j.physleta.2011.02.030

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.

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