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中国物理学会期刊

Whittaker方程的Hamilton化

CSTR: 32037.14.aps.59.8326

Hamiltonization of Whittaker equations

CSTR: 32037.14.aps.59.8326
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  • 引入Whittaker方程的Birkhoff表示,构造与该表示对应的Hamilton函数,并利用Hamilton-Poisson方法得到Whittaker方程的解.指出上述Hamilton函数与传统分析力学中Hamilton函数的区别.

     

    A Birkhoffian representation of Whittaker equations is introduced. A Hamiltonian corresponding to the Birkhoffian representation is constructed. The Whittaker equations are solved by using the Hamilton-Poisson method. The difference between the above Hamiltonian and the Hamiltonians of traditional analytical mechanics is pointed.

     

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