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In simplicitate veritas
Author(s) -
Leach P. G. L.
Publication year - 2007
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.911
Subject(s) - mathematics , simple (philosophy) , harmonic oscillator , algebraic number , kepler , calculus (dental) , algebra over a field , kepler problem , celestial mechanics , pure mathematics , theoretical physics , mathematical analysis , classical mechanics , mathematical physics , quantum mechanics , physics , epistemology , philosophy , stars , medicine , dentistry , astronomy
Abstract The two paradigms of Mechanics, videlicet the Kepler Problem and the Simple Harmonic Oscillator, are renowned, each in its own way, for their beautiful mathematical and algebraic properties. We demonstrate that the free particle contains all of these properties and more and recall the relationship of the two paradigms to this most elementary problem of Mechanics. Copyright © 2007 John Wiley & Sons, Ltd.