| 含有坐标二次方和四次方势中质点运动的解析解及李萨如图形 |
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| 引用本文： | 朱曹奇,邱为钢. 含有坐标二次方和四次方势中质点运动的解析解及李萨如图形[J]. 大学物理, 2012, 31(1): 51-53 |
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| 作者姓名： | 朱曹奇 邱为钢 |
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| 作者单位： | 湖州师范学院理学院,浙江湖州,313000 |
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| 基金项目： | 湖州师范学院大学生科研项目,浙江省高等学校创新团队,湖州师范学院校级精品课程大学物理项目资助 |
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| 摘 要： | 给出了含有坐标二次方和四次方势的质点运动的解析解,即位移与时间的椭圆函数表达式.讨论了质点在2个相互正交势场中的运动轨迹,即推广的李萨如图形的特性.
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| 关 键 词： | 二次和四次方势 椭圆函数 李萨如图形 |
The analytical solution of motion under two and four power potential and its Lissajou' s figure |
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| ZHU Cao-qi , QIU Wei-gang. The analytical solution of motion under two and four power potential and its Lissajou' s figure[J]. College Physics, 2012, 31(1): 51-53 |
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| Authors: | ZHU Cao-qi QIU Wei-gang |
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| Affiliation: | (School of Science,Huzhou Teachers College,Huzhou,Zhejiang 313000,China) |
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| Abstract: | The analytical solution of movement of particle under the combined two and four power potential is obtained.The displacement of particle is expressed in term of Jacobi elliptical function.The trajectory of particle under two perpendicular potentials,i.e.,the generalized Lissajou’s figures,are also discussed and given. |
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| Keywords: | two and four power potential elliptical function Lissajou’s figure |
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