Relativistic particle in a three-dimensional box

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 conseque...

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Bibliographic Details
Published in:Physics letters. A 2011-03, Vol.375 (12), p.1436-1440
Main Authors: Alberto, Pedro, Das, Saurya, Vagenas, Elias C.
Format: Article
Language:English
Subjects:
Density of states
Fermions
Relativistic particles
Solid state physics
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Summary: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. Solution of Dirac eqn for a relativistic spin-1/2 particle in a 3-dim square box. ► Non-relativistic and ultra-relativistic limits are related to the size of the box. ► The density of states is shown to be a bit higher than the non-relativistic one. ► In ultra-relativistic limit density of states approaches the non-relativistic one.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2011.02.030