Projective Geometry and Kepler's Libration Theory


Binz, Ernst ; Schempp, Walter


Document Type: Conference or workshop publication
Year of publication: 2000
Book title: Quantum theory and symmetries : proceedings of the international symposium ; Goslar, Germany, 18 - 22 July 1999
Page range: 572-576
Author/Publisher of the book
(only the first ones mentioned)
:
Doebner, Heinz D.
Place of publication: Singapore
Publishing house: World Scientific
ISBN: 981-02-4237-9
Publication language: English
Institution: School of Business Informatics and Mathematics > Mathematik I (N. N.)
Subject: 510 Mathematics
Abstract: Summary: The canonical map τ of the field of quaternions ℍ to SO(E) yields a logarithmic scale on the centre ℝ·e of ℍ; here E=e ⊥ with e being the unit element of ℍ. Together with a harmonic oscillator, the logarithmic scale and Runge-Lenz vector, the map τ corresponds to a Kepler motion on a conic section in symplectic plane P. The action of dilations of metaplectic group on the propagators on the light cone of the wave equation and logarithmic scale on the centre of the Heisenberg group G=ℝ·e+P yield Kepler's third law. This is related to Bradley's aberration method to verify optically the motion of the Earth around the Sun.

Dieser Eintrag ist Teil der Universitätsbibliographie.




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Binz, Ernst ; Schempp, Walter Projective Geometry and Kepler's Libration Theory. Doebner, Heinz D. 572-576 In: Quantum theory and symmetries : proceedings of the international symposium ; Goslar, Germany, 18 - 22 July 1999 (2000) Singapore [Conference or workshop publication]


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