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Relativistic particle in a three-dimensional box

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Bibliographic Details
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.
Main Authors:Alberto, Pedro
Other Authors:Das, Saurya; Vagenas, Elias
Subject:Relativistic Quantum Mechanics
Year:2011
Country:Portugal
Document type:article
Access type:embargoed access
Associated institution:Universidade de Coimbra
Language:English
Origin:Estudo Geral - Universidade de Coimbra
Description
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.

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