mathieu equation 中文意思是什麼
mathieu equation
解釋
馬蒂厄方程-
Then, use galerkin principle to put the stability equation in order for the special function the mathieu standard form, and utilize the boundary of the mathieu solves ’ steady area and unsteady area, namely special relationships of and, draw the discrimination equation of losing the magnetoelastic steady critical state
然後，應用galerkin原理將穩定性方程整理為特殊函數馬丟方程的標準形式，並利用馬丟方程的穩定解區域與非穩定解區域的分界，即系數和的本徵值關系得出了磁彈性最低失穩臨界狀態的判別方程。 -
We consider a neutral particle with magnetic moment antiparallel to the field. with the interaction potential energy between the magnetic moment of the particle and the magnetic field, we obtain the classical motion equation of the neutral particles in the loffe trap. in some limit conditions, by using the perturbative method, the equations may take on concise forms. of which the two equations about x and y are mathieu equations. if we properly set the parameters and have the condition a > > q > 0, we can solve the mathieu equation with the traditional wkbj method. as a new attemptation, with fourier series expansion we solve the mathieu equation and obtain the classical motion law of the neutral particles
若阱的參數設置使得條件> > q 0成立時，我們可以利用傳統的wkbj方法近似求解馬丟方程。作為一種新的嘗試，本文還採用傅立葉級數展開的辦法來對馬丟方程進行求解，從而得到中性粒子在阱中的經典運動規律。在研究ioffe阱對中性粒子的囚禁問題時，實際上我們更感興趣的是馬丟方程的周期解，而要想獲得這種周期解，和q必須滿足一定的關系，亦即必須選擇阱的特定的參數和粒子的特定初始條件，對這一問題我們進行了嘗試性的研究。
分享友人