Relativistic particle in a three-dimensional box
Date
2015-12-15
Authors
Alberto, Pedro
Das, Saurya
Vagenas, Elias C.
Journal Title
Journal ISSN
Volume Title
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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.
Description
Sherpa Romeo green journal. Permission to archive author manuscript.
Keywords
Dirac equation , Three-dimensional box , Fermion gas , Dirac particle , Non-relativistic limits , Ultra-relativistic limits
Citation
Alberto, P., Das, S., & Vagenas, E. C. (2011). Relativistic particle in a three-dimensional box. Physics Letters A., 375(12), 1436-1440. https://doi.org/10.1016/j.physleta.2011.02.030