|
カジヤマ ユウジ
Yuji Kajiyama
梶山 裕二 所属 教育学部 職種 准教授 |
|
| 言語種別 | 英語 |
| 発行・発表の年月 | 2022/04 |
| 形態種別 | 研究論文 |
| 査読 | 査読あり |
| 標題 | An Extension of the Explicit Calculation of the Principle of Least Action to a Power Series Potential |
| 執筆形態 | 単著 |
| 掲載誌名 | Bulgarian Journal of Physics |
| 掲載区分 | 国外 |
| 出版社・発行元 | the Union of the Physicists in Bulgaria |
| 巻・号・頁 | 49(2),pp.163-173 |
| 総ページ数 | 11 |
| 概要 | We present the general formula of x(t) of a particle moving under any potential expressed by a power series of x without solving the equations of motion. If x(t) is assumed to be expanded by a power series of t with unknown coefficients, one can explicitly perform the time integration of the action. By imposing the boundary conditions and the extremum conditions to the action, all the expansion coefficients and the function of x(t) are determined. This approach will be an alternative way to analyze the motion in classical mechanics based not on the variational principle and the Euler Lagrange equation. |