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arXiv 2205.02017quant-phmath-phmath.MP
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So(2,1)代数、局域费米速度和位置相关质量狄拉克方程

So (2, 1) algebra, local Fermi velocity, and position-dependent mass Dirac equation

Bijan Bagchi, Rahul Ghosh, Christiane Quesne

摘要:

利用费米速度随空间变化的性质,在so(2,1)势代数的约束下研究了(1+1)维位置相关质量Dirac方程.当狄拉克方程具有一个外部赝标量势时,我们研究了两者的综合效应。利用点正则变换,对由so(2,1)导出的三种情形的解进行了有益的探索。

英文摘要:

We investigate the (1+1)-dimensional position-dependent mass Dirac equation within the confines of so(2,1) potential algebra by utilizing the character of a spatial varying Fermi velocity. We examine the combined effects of the two when the Dirac equation is equipped with an external pseuodoscalar potential. Solutions of the three cases induced by so(2, 1) are explored by profitably making use of a point canonical transformation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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