English

A projection operator technique for solution of relativistic wave equation on non-compact group: the case of a charged vector-boson

Quantum Physics 2007-05-23 v1

Abstract

A projection operator technique for solution of relativistic wave equation on non-compact group has been proposed. This technique was applied to the construction of wave equations for charged vector boson in a potential field. The equations were shown to approximately describe a hydrogen-like atom and allow estimating of relativistic corrections such as a fine structure of hydrogen atom lines with high accuracy.

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Cite

@article{arxiv.quant-ph/0301176,
  title  = {A projection operator technique for solution of relativistic wave equation on non-compact group: the case of a charged vector-boson},
  author = {Halina V. Grushevskaya and Leonid I. Gurskii},
  journal= {arXiv preprint arXiv:quant-ph/0301176},
  year   = {2007}
}

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8 pages