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arxiv: quant-ph/0111011 · v1 · pith:BBJNSMAWnew · submitted 2001-11-01 · 🪐 quant-ph

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

classification 🪐 quant-ph
keywords diracequationlinearpotentialspectrumbhaleraocaseconstraints
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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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