Open AccessSquare Roots of Kepler Ellipses, Electrons and Rydberg Atoms in a Magnetic Field
Author(s) -
Yu. P. Stepanovsky
Publication year - 2020
Publication title -
ukrainian journal of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.213
H-Index - 17
eISSN - 2071-0194
pISSN - 2071-0186
DOI - 10.15407/ujpe65.10.835
Subject(s) - physics , rydberg formula , kepler , zeeman effect , regularization (linguistics) , magnetic field , spectral line , kepler problem , hydrogen spectral series , astrophysics , astronomy , stars , quantum mechanics , ion , artificial intelligence , computer science , ionization
Young Kepler’s daring ideas on the structure of the Solar system are applied to the analysis of planetary distances in the exoplanetary system HD 10180. Using Zhukovsky’s transformation, the essence of the spinor regularization of Kepler’s problem is explained as extracting the square root of an ellipse and using a Kepler eccentric anomaly instead of the usual time. The achievements of Kharkiv radio astronomers in the search for radio recombination lines of Rydberg carbon atoms at the UTR-2 radio telescope are considered. A generalized spinor regularization of the Kepler problem is used to analyze the energy spectra of Rydberg hydrogen atoms in a magnetic field.