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arXiv · 1309.0308

Bound states of the one-dimensional Dirac equation for scalar and vector double square-well potentials

Hideo Hasegawa
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Abstract

We have analytically studied bound states of the one-dimensional Dirac equation for scalar and vector double square-well potentials (DSPs), by using the transfer-matrix method. Detailed numerical calculations of the eigenvalue, wave function and density probability have been performed for the three cases: (1) vector DSP only, (2) scalar DSP only, and (3) scalar and vector DSPs with equal magnitudes. We discuss the difference and similarity among results of the cases (1)-(3) in the Dirac equation and that in the Schrödinger equation. Motion of a wave packet is calculated for a study on quantum tunneling through the central barrier in the DSP.

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Hideo Hasegawa. 2013-10-02. Bound states of the one-dimensional Dirac equation for scalar and vector double square-well potentials. https://doi.org/10.1016/j.physe.2014.01.011

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