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

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

2001-11-01

arxiv.org/abs/quant-ph/0111011v1

Am.J.Phys. 70 (2002) 522

Physics

Quantum Physics

7 pages, 1 figure, RevTEX

Scientific paper

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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