Numerical evaluation of the lamb shift in hydrogen

U. D. Jentschura, P. J. Mohr, G. Soff

Research output: Article

1 Citation (Scopus)


A reliable and precise theoretical understanding of quantum electrodynamic effects in atoms is of crucial importance for the determination of fundamental constants from precision electromagnetic measurements. The numerical evaluation of self-energy corrections in hydrogen-like ions with small atomic number Z entails severe loss of numerical significance at intermediate stages of the calculation and slow convergence in the sum over intermediate angular momenta. We present an evaluation of the scaled self-energy function F(Zα) at Z=1 with a relative uncertainty of 2 × 10-9.

Original languageEnglish
Pages (from-to)186-188
Number of pages3
JournalIEEE Transactions on Instrumentation and Measurement
Issue number2
Publication statusPublished - dec. 1 1999


ASJC Scopus subject areas

  • Instrumentation
  • Electrical and Electronic Engineering

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