Apply Lorentz-dirac Equation To The Theoretical Study Of Hydrogen Atom

This paper studies the problem of stability of the two-dimensionalhydrogen atom within the framework of classical physics base on theadaptive format of the Runge Kutta method namely Fehlberg method oforder4and5and the new order reduction method about theLorentz-Dirac equation (LDE) provided by Guozhong Wang. This workincludes the following three contents.As the research foundation,wefirstly discuss the problems of scale of the new order reduction method ofLDE in the hydrogen atom. By calculating the position and velocity ofthe electron,which moves along the X axis, we find the results of the neworder reduction method complies with the original order reductionmethod in region from7to100000fermi,they have at most difference of1/1000orders of magnitude. The difference is exactly get bigger when theelectron is closer to the proton in region from2to7fermi and for ratio ofthe positions of the two methods is already close to80percent.Then weapply the new order reduction method for the analysis of the workingcondition of radiation in two-dimensional hydrogen atom. By calculatingthe instantaneous power of radiation reaction, we find that the positivework and negative work are hugely dependent on the direction of motionof the electron.As far as movement along X axis,the calculations showthat there are four critical angles on the direction of velocity at arbitrarypoint to strictly distinguish between the positive work and negativework.In fact due to the symmetry of the coulomb field, the conclusion isstill valid for the other directions not limited to the motion we discussedabove.we finally study the problem of stability of the hydrogen atom,numerical simulations show that the disturbance of direction of motion makes the anti-damping effect,which means the radiation reaction doespositive work, and the radiation losses,which refers to the situation fornegative work,occur alternately.This mechanism would effectivelymaintain the movement of the electron in the region around protons.Inphysics, we think such perturbations can be generated in theelectromagnetic fluctuating fields of the vacuum.So the stable structure ofhydrogen atom can be treated as a result of actions of the electromagneticfluctuating fields of the vacuum,the electronic own radiation field and thecoulomb field between the proton and electron within the framework ofclassical physics.