Relativistic particle in a three-dimensional box
Vagenas, Elias C.
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.
Sherpa Romeo green journal. Permission to archive author manuscript.
Dirac equation , Three-dimensional box , Fermion gas , Dirac particle , Non-relativistic limits , Ultra-relativistic limits
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