Classical Solutions of Motion for Dyon Systems

XU Xue-yan; CHEN Hai-bo; ZHANG Hong-bin; DING Guang-tao

doi:10.21656/1000-0887.380046

Volume 38 Issue 9

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Article Navigation > Applied Mathematics and Mechanics > 2017 > 38(9): 1061-1070

XU Xue-yan, CHEN Hai-bo, ZHANG Hong-bin, DING Guang-tao. Classical Solutions of Motion for Dyon Systems[J]. Applied Mathematics and Mechanics, 2017, 38(9): 1061-1070. doi: 10.21656/1000-0887.380046

Citation:

XU Xue-yan, CHEN Hai-bo, ZHANG Hong-bin, DING Guang-tao. Classical Solutions of Motion for Dyon Systems[J]. Applied Mathematics and Mechanics, 2017, 38(9): 1061-1070. doi: 10.21656/1000-0887.380046

Citation:

XU Xue-yan, CHEN Hai-bo, ZHANG Hong-bin, DING Guang-tao. Classical Solutions of Motion for Dyon Systems[J]. Applied Mathematics and Mechanics, 2017, 38(9): 1061-1070. doi: 10.21656/1000-0887.380046

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Classical Solutions of Motion for Dyon Systems

doi: 10.21656/1000-0887.380046

¹The Interdisciplinary Center for Study on Maths, Physics and Engineering, Chaohu University, Hefei 238000, P.R.China;²College of Physics and Electronic Information, Anhui Normal University, Wuhu, Anhui 241000, P.R.China

Funds: The National Natural Science Foundation of China（11472063）

Received Date: 2017-02-28
Rev Recd Date: 2017-07-03
Publish Date: 2017-09-15

Abstract

Abstract

According to the mechanics theories and the classical electromagnetism, the motion of 2-dyon systems was studied. Some integrals of motion, including the energy integral, the total angular momentum integral and the Runge-Lenz-like integral, were derived from the differential equations of motion for the system, then the SO(4) symmetry of the system was exposed. With the inverse problem method of variational calculus, the Lagrangian function and the Hamiltonian function for the 2-dyon system were constructed. The classical motion of the system is completely integrable, the equations of the orbit and the relation between radial distance r and time t are solvable.
- dyon,
- Lagrangian function,
- Hamiltonian function,
- integral of motion,
- classical electromagnetism

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References

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