| 一类新型正则方程对广义经典力学的推广 |
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| 引用本文： | 乔永芬. 一类新型正则方程对广义经典力学的推广[J]. 力学学报, 1990, 22(1): 99-105. DOI: 10.6052/0459-1879-1990-1-1995-918 |
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| 作者姓名： | 乔永芬 |
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| 作者单位： | 东北农学院 |
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| 摘 要： | 本文首先将一类新型正则方程推广到广义经典力学,得到广义正则方程,确定泊松括号和拉格朗日括号及它们的性质,用泊松括号表示广义正则方程,建立新型Hamilton广义变分原理、Hamilton-jacobi方程。
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| 关 键 词： | 正则方程 广义 经典力学 泊松括号 |
AN EXTENSION OF NEW FORM CANONICAL EQUATIONS TO GENERALIZED CLASSICAL MACHANICS |
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| Qiao Yongfen. AN EXTENSION OF NEW FORM CANONICAL EQUATIONS TO GENERALIZED CLASSICAL MACHANICS[J]. chinese journal of theoretical and applied mechanics, 1990, 22(1): 99-105. DOI: 10.6052/0459-1879-1990-1-1995-918 |
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| Authors: | Qiao Yongfen |
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| Affiliation: | Northeast Agricultural College |
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| Abstract: | In this paper, the new form canonical equations are extended to the generalized classical mechanics and the generalized canonical equations are obtained. Then the generalized Poisson and Lagrange brackets and their characteristics are defined. The generalized canonical equations are expressed by Poisson bracket notation. In addition, the generalized Hamilton Variational principle and Hamilton-Jacobi's equations are established. |
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| Keywords: | generalized canonical equations Poisson bracket Lagrange bracket new form generalized Hamilton variational principle new form Hamilton-Jacobi equation generalized classical machanics |
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