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Relativistic particle in a three-dimensional box

Authors: P. Alberto, S. Das, E. C. Vagenas

Ref.: Phys. Lett. A 375, 1436-1440 (2011)

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.

DOI: 10.1016/j.physleta.2011.02.030