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圆盘域波动方程基于hamilton体系的分离变量法

, PP. 582-586

Keywords: hamilton系统,bessel函数,完备性,

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Abstract:

对于极坐标系下的波动方程,首先通过引入合适的对偶变量将其化为hamilton系统,并基于bessel函数的性质证明了导出的hamilton算子矩阵本征函数系的完备性定理,最后利用展开定理给出了hamilton系统的解.

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