| 双曲型Lagrangian函数* |
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| 引用本文： | 于学刚. 双曲型Lagrangian函数*[J]. 应用数学和力学, 1998, 19(12): 1095-1100 |
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| 作者姓名： | 于学刚 |
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| 作者单位： | 通化师范学院物理系, 吉林通化 134002 |
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| 摘 要： | 双曲复数与Minkowski几何相对应,由四维时空间隔不变量和双曲型Lorentz变换可导出双曲型Lagrangian方程和Hamilton-Jacobi方程.
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| 关 键 词： | 双曲四元数 Lagrangian函数 广义惯性力 |
| 收稿时间： | 1996-09-15 |
Hyperbolic Lagrangian Functions |
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| Yu Xuegang. Hyperbolic Lagrangian Functions[J]. Applied Mathematics and Mechanics, 1998, 19(12): 1095-1100 |
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| Authors: | Yu Xuegang |
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| Affiliation: | Department of Physics, Tonghua Teachers' College, Tonghua 134002, P. R. China |
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| Abstract: | Hyperbolic complex numbers correspond with Minkowski geometry. The hyperbolic Lagrangian equation and the Hamilton_Jacobi equation will be derived from the invariants of four_dimensional space_time intervals and hyperbolic Lorentz transformations. |
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| Keywords: | hyperbolic quaternion numbers Lagrangian functions generalized inertia forces |
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