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

被引:32
|
作者
Hiller, JR [1 ]
机构
[1] Univ Minnesota, Dept Phys, Duluth, MN 55812 USA
关键词
D O I
10.1119/1.1456074
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
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. (C) 2002 American Association of Physics Teachers.
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页码:522 / 524
页数:3
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