庞加莱截面 meaning in English
poincar'e section
Examples
- But because there is the uncertainty principle in quantum mechanics , the particle ' s momenta and coordinates ca n ' t be determined at the same time , we ca n ' t use the orbits in phase space to describe quantum chaos
但是在量子力学中，由于不确定关系，粒子的动量和坐标不能同时被确定，所以经典庞加莱截面取法就不适用了。 - When we research the chaotic character of conservative system in classical mechanics , the easiest and most effective method is the poincare surface of section ( pos ) of the orbits in phase space which abide by the classical hamiltonian
人们研究经典保守系统的混沌特征时，最简便有效的方法是计算相空间轨道的庞加莱截面。 - Considering the actual experiment condition , we use the poincare surface of section , which is the elementary method in the study of classical chaos , to investigate how the different relative energy and tiled angle influence on the particle ' s motion in the potential well . 2
考虑到实际的实验数据，分别改变粒子的初始能量和磁场的倾斜角度，采用经典混沌研究的主要工具，即经典相空间的庞加莱截面方法来研究不同能量和倾角对系统中粒子运动的影响。 - When the potential is interaction , because of the symmetry of the hamiltonian , the poincare surface of section ( pos ) of the orbits in the classical phase space is integrable , which is corresponding to the poisson distribution in the quantum manifestation , our compute accords with this distribution
当粒子间为占势作用时，由于哈密顿的对称性，系统对应的经典相空间轨道的庞加莱截面图表现出可积的性质，这在量子上对应着能级统计分布为无规谱的poisson分布，我们通过基矢展开的方法求得的能级正符合这个分布。