Solution of the one-dimensional Dirac equation with a linear scalar potential

John R. Hiller

doi:10.1119/1.1456074

Solution of the one-dimensional Dirac equation with a linear scalar potential

John R. Hiller

Physics & Astronomy (Duluth)

Research output: Contribution to journal › Article › peer-review

32 Scopus citations

Abstract

We solve the Dirac equation in one spatial dimension for the case of a linear, Lorentz-scalar potential. This extends earlier work of Bhalerao and Ram [Am. J. Phys. 69 (7), 817-818 (2001)] by eliminating unnecessary constraints. The spectrum is shown to match smoothly to the nonrelativistic spectrum in a weak-coupling limit.

Original language	English (US)
Pages (from-to)	522-524
Number of pages	3
Journal	American Journal of Physics
Volume	70
Issue number	5
DOIs	https://doi.org/10.1119/1.1456074
State	Published - 2002

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Solution of the one-dimensional Dirac equation with a linear scalar potential

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