2010/03/25 by V. P. Neznamov, В. П. Незнамов, A. A. Sadovoy +5
Physics and Astronomy · #Advanced Frequency and Time Standards #Atomic and Molecular Physics #Radioactive Decay and Measurement Techniques #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.1003.5138
13 pages
arxiv created 2010/03/25 · arxiv updated 2010/03/29
The paper compares the methods used to calculate matrix elements of the operator of radail electron coordinates in an arbitrary order in the Foldy-Wouthuysen representation and with the use of the Dirac equation for 1s-states of the hydrogen-like and helium-like ions of transuranic elements. The obtained analytical and numerical results for 1s-states of the hydrogen-like and helium-like ions proves that the wave function reduction requirement is met with transformation to the Foldy-Wouthuysen representation and confirms that matrix elements can be calculated using only one component (either upper, or lower) of the Dirac bispinor wave function.