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25 April 2024
 
  » arxiv » 2010.13690

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Exploiting the Planck-Einstein Relation
R. Engels ; M. Büscher ; P. Buske ; Y. Gan ; K. Grigoryev ; Chr. Hanhart ; L. Huxold ; C. S. Kannis ; A. Lehrach ; H. Soltner ; V. Verhoeven ;
Date 26 Oct 2020
AbstractThe origin of quantum physics was the discovery of the base unit of electromagnetic action $h$ by Max Planck in 1900 when he analyzed the experimental results of the black body radiation. This permitted Albert Einstein a few years later to explain the photoelectric effect by the absorption of photons with an energy of $E = h cdot f$. We exploit the Planck-Einstein relation in a new type of fundamental spectroscopic measurements of direct transitions between two states with energy differences of about 10 neV and induced frequencies of a few MHz. Employing a Lamb-shift polarimeter and a Sona transition unit, featuring a relatively simple magnetic field configuration of two opposing solenoidal coils, we were able to determine $f$ and measure $E$ independently. Only resonances corresponding to integer multiples of Planck’s constant $h$ were observed in our setup, which can very well be explained quantitatively by the Schr"odinger equation. This new method beautifully demonstrates the quantization in the micro-cosmos and allows one to measure the hyperfine splitting energies between the substates with $F=1$ and $m_F = -1, 0, +1$ of metastable hydrogen atoms as function of a magnetic field and, thus, to investigate the influence of QED corrections on the Breit-Rabi diagram.
Source arXiv, 2010.13690
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