Splitting the segment and the circle and some constants in quantum and celestial mechanics

Details Splitting the segment and the circle and some constants in quantum and celestial mechanics Splitting the segment and the circle and some constants in quantum and celestial mechanics

Aug 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007jena.confs..97s&link_type=abstract

"JENAM-2007, "Our non-stable Universe", held 20-25 August 2007 in Yerevan, Armenia. Abstract book, p. 97-97"

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The work describes the structure of discrete-time motion induced by an orbit of a quasiperiodic system at the boundary of state space. Some results on ergodic splitting of the linear segment and the circle are presented; based on a numerical observation, some possible applications in quantum theory and celestial mechanics are discussed. For the split rates of these two simplest geometrical objects we obtained γ =1.524 and λ = 0.532; we discuss different situations where almost the same numerical constants appear: the Bohr radius, Balmer's spectral lines (3-d wavenumber) in hydrogen atom, and the mean distance between the Sun and Mars.

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