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.

Voir la notice de l'article provenant de la source Heldermann Verlag

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 
@article{JGG_2021_25_2_JGG_2021_25_2_a9,
     author = {T. V. Phan and A. Doan },
     title = {A {Curious} {Use} of {Extra} {Dimension} in {Classical} {Mechanics:} {Geometrization} of {Potential}},
     journal = {Journal for geometry and graphics},
     pages = {265--27},
     publisher = {mathdoc},
     volume = {25},
     number = {2},
     year = {2021},
     url = {http://geodesic.mathdoc.fr/item/JGG_2021_25_2_JGG_2021_25_2_a9/}
}
TY  - JOUR
AU  - T. V. Phan
AU  - A. Doan 
TI  - A Curious Use of Extra Dimension in Classical Mechanics: Geometrization of Potential
JO  - Journal for geometry and graphics
PY  - 2021
SP  - 265
EP  - 27
VL  - 25
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JGG_2021_25_2_JGG_2021_25_2_a9/
ID  - JGG_2021_25_2_JGG_2021_25_2_a9
ER  - 
%0 Journal Article
%A T. V. Phan
%A A. Doan 
%T A Curious Use of Extra Dimension in Classical Mechanics: Geometrization of Potential
%J Journal for geometry and graphics
%D 2021
%P 265-27
%V 25
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JGG_2021_25_2_JGG_2021_25_2_a9/
%F JGG_2021_25_2_JGG_2021_25_2_a9
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/