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

John R. Hiller
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Abstract

We solve the Dirac equation in one space 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.

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John R. Hiller. 2001-11-01. Solution of the one-dimensional Dirac equation with a linear scalar potential. https://doi.org/10.1119/1.1456074

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