Analytic calculation of the edge components of the angular Fock coefficients

@article{Liverts2016AnalyticCO,
  title={Analytic calculation of the edge components of the angular Fock coefficients},
  author={Evgeny Z. Liverts},
  journal={Physical Review A},
  year={2016},
  volume={94},
  pages={022504}
}
  • E. Liverts
  • Published 5 April 2016
  • Mathematics
  • Physical Review A
The present paper constitutes a development of our previous work devoted to calculations of the angular Fock coefficients ${\ensuremath{\psi}}_{k,p}(\ensuremath{\alpha},\ensuremath{\theta})$. Explicit analytic representations for the edge components ${\ensuremath{\psi}}_{k,0}^{(0)}$ and ${\ensuremath{\psi}}_{k,0}^{(k)}$ with $k\ensuremath{\le}8$ are derived. The methods developed enable such a calculation for arbitrary $k$. The single-series representation for subcomponent ${\ensuremath{\psi}}_… 
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