The Movements Of Charged Particles In Electric And Magnetic Fields And The Solutions Of Electromagnetic Force

Study the movements of charged particles in the electric and magnetic fields with a great significance in many important areas of physics and scientific technology. For example, the applications of mass spectrometers, oscilloscopes, TV picture tubes, particle accelerators and other equipments are closely related to this study. In addition, study the movements of charged particles in the electric and magnetic fields have become an important component of the theory research in plasma physics. Many people carried out a lot of work about the movements of charged particles in the electric and magnetic fields. Most previous work basically started from the theory of classical electromagnetic field and classical mechanics to study the classical track of charged particles, but few people analyzed the situation of flexible interface when it existed. This article will both consider the condition of the existence of a flexible interface and the classical and relative motion of charged particles, then use solving about the Hamiltonian canonical equation and Mathematica software package for scientific computing to describe the trajectories of charged particles.This article will introduce the solutions of the Laplace equation when the magnetic scalar meet it and the Helmholtz equation when the electromagnetic vector satisfy it. This paper also solves the electromagnetic field through the use of boundary value problem and calculates certain electromagnetic force through the application of Maxwell stress tensor. Research results of this project have a particular reference significance to explore and expanse new areas of the application of electromagnetic theory.This article focuses on five aspects, it is arranged as follows:1. The classical movement of Charged particles in electric and magnetic fields.2. The relative movement of Charged particles in electric and magnetic fields.3. The movement of Charged particles in parallel electric and magnetic fields and near the flexible interface.4. Solutions of the Laplace equation when certain magnetic scalar meet it and the Helmholtz equation when the electromagnetic vector satisfy it. 5. Calculate certain electromagnetic force by the application of Maxwell stress tensor.