International Journal of Frontiers in Engineering Technology, 2022, 4(5); doi: 10.25236/IJFET.2022.040511.
Daohong Liu1, Chenyuan Tian2
1College of Mathematics and Physics, Chengdu University of Technology, Chengdu, Sichuan, China
2College of Mathematics and Physics, China University of Geosciences (Wuhan), Wuhan, Hubei, China
Taylor's formula is an important content in advanced mathematics, and it is also an indispensable mathematical tool in the study of function limits and error estimation. In this paper, Taylor's formula is used to deduce the electric potential energy of the charge system in the applied electric field and to prove the Noether's theorem of the point particle system under the action of conservative force. Finally, the expression of potential energy of multi electrode in external electric field and the reason why Noether's theorem is established in conservative system are given, and the superposition principle of potential energy of point particle system is indirectly explained.
Taylor formula; Charge system; Noether's theorem; Conservative system
Daohong Liu, Chenyuan Tian. Physical Application of Taylor Formula. International Journal of Frontiers in Engineering Technology (2022), Vol. 4, Issue 5: 64-68. https://doi.org/10.25236/IJFET.2022.040511.
[1] Zhou Y B. Theoretical Mechanics [M]. Higher Education Press, 2009.
[2] Zhang X Z, Zhang H Q. Classical Electrodynamics [M]. Science Press, 2013.
[3] Yin Z. Electrodynamics [M]. Science Press, 2010.
[4] Department of Mathematics, Tongji University. Advanced Mathematics [M]. Higher Education Press, 2014.
[5] Wu C S. Mathematical physics method [M]. Higher Education Press, 2015.
[6] Guo S H. Electrodynamics [M]. Higher Education Press, 2008.
[7] Brading K, Brown H R. Noether's Theorems and Gauge Symmetries [J]. Arxiv Cornell University Library, 2000.
[8] Qi A S. Mechanics [M]. Higher Education Press, 2018.