Numerical evaluation of the lamb shift in hydrogen

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

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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
Volume48
Issue number2
DOIs
Publication statusPublished - 1999

Fingerprint

Angular momentum
Electrodynamics
electromagnetic measurement
Atoms
Hydrogen
evaluation
shift
Ions
hydrogen
hydrogen ions
quantum electrodynamics
angular momentum
energy
atoms
Uncertainty

Keywords

  • Fundamental constants
  • Quantum electrodynamics
  • Relativistic and QED effects

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Instrumentation

Cite this

Numerical evaluation of the lamb shift in hydrogen. / Jentschura, U.; Mohr, P. J.; Soff, G.

In: IEEE Transactions on Instrumentation and Measurement, Vol. 48, No. 2, 1999, p. 186-188.

Research output: Contribution to journalArticle

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