Title :
Numerical evaluation of the Lamb shift in hydrogen
Author :
Jentschura, U.D. ; Mohr, P.J. ; Soff, G.
Author_Institution :
Nat. Inst. of Stand. & Technol., Gaithersburg, MD, USA
fDate :
4/1/1999 12:00:00 AM
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
Keywords :
Lamb shift; constants; hydrogen neutral atoms; quantum electrodynamics; H; Lamb shift; electromagnetic measurement; fundamental constant; hydrogen atom; hydrogen-like ion; quantum electrodynamics; self-energy function; Atomic measurements; Electrodynamics; Electromagnetic measurements; Electrons; Elementary particle vacuum; Equations; Hydrogen; NIST; Quantum mechanics; Reliability theory;
Journal_Title :
Instrumentation and Measurement, IEEE Transactions on
