中文

Algebraic solution for the vector potential in the Dirac equation

高能物理 - 理论 2008-11-26 v1 数学物理 math.MP

摘要

The Dirac equation for an electron in an external electromagnetic field can be regarded as a singular set of linear equations for the vector potential. Radford's method of algebraically solving for the vector potential is reviewed, with attention to the additional constraints arising from non-maximality of the rank. The extension of the method to general spacetimes is illustrated by examples in diverse dimensions with both cc- and aa-number wavefunctions.

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引用

@article{arxiv.hep-th/0104216,
  title  = {Algebraic solution for the vector potential in the Dirac equation},
  author = {H S Booth and G Legg and P D Jarvis},
  journal= {arXiv preprint arXiv:hep-th/0104216},
  year   = {2008}
}

备注

14 pages, LaTeX