运用能量图解法研究有心运动问题  

Problem of Central Motion Was Studied with the Help of Energy Diagram Method

作　　者：孟凡明[1] 王雷妮[1] 

机构地区：[1]安徽大学物理与材料科学学院,合肥230039

出　　处：《合肥学院学报（自然科学版）》2011年第4期29-33,42,共6页Journal of Hefei University :Natural Sciences

基　　金：安徽省高等学校省级教学研究项目(20100185);安徽大学"211工程"三期校级教育教学改革研究项目(xj201140);安徽大学211工程三期教学质量工程项目(39020012);安徽大学"质量工程"建设项目(XJ200907)资助

摘　　要：运用能量图解法研究了质点在绕固定轴匀角速度转动参照系和有心力场中的运动及其稳定性.运用这种方法虽然不能定量地给出某些结果,但是可以利用势能曲线,通过引入等效势能,将三维问题化为一维问题,对有心运动作定性分析.这种方法直观、简易、避免了复杂的数学运算,在量子力学中也有一定的应用.The motion and its stability of a particle,which in a uniformity angular velocity rigidity rotation reference systems or in a field of central force,was studied with the help of energy diagram method.Even if some quantitative result was not attained,but the three-dimensional problem was switch to one-dimensional problem with the help of both potential energy curve and equivalent potential energy,thus qualitative analysis result was attained.This method is characterized by audio-visual,simplified and no sophisticated mathematical arithmetic.This method is also applied to quantum mechanics.

关 键 词：等效势能 势能曲线 图解法 有心运动 定性分析 

分 类 号：O369[理学—流体力学]