Geodesic
A Curious Use of Extra Dimension in Classical Mechanics: Geometrization of Potential
Journal for geometry and graphics, Tome 25 (2021) no. 2, pp. 265-27
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Extra dimensions can be utilized to simplify problems in classical mechanics, offering new insights. Here we show a simple example of how the motion of a test particle under the influence of a 1D inverse-quadratic potential is equivalent to that of another test particle moving freely in 2D Euclidean space and 3D Minkowskian space.
Classification : 70B05, 97M50
Mots-clés : Particle motion, inverse-quadratic potential, Minkowskian space 
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     title = {A {Curious} {Use} of {Extra} {Dimension} in {Classical} {Mechanics:} {Geometrization} of {Potential}},
     journal = {Journal for geometry and graphics},
     pages = {265--27},
     year = {2021},
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T. V. Phan; A. Doan. A Curious Use of Extra Dimension in Classical Mechanics: Geometrization of Potential. Journal for geometry and graphics, Tome 25 (2021) no. 2, pp. 265-27. http://geodesic.mathdoc.fr/item/JGG_2021_25_2_JGG_2021_25_2_a9/