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Abstract

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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Ding Guang-Tao

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[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]
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Cited By

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[1]	Cui Jin-Chao, Chen Man, Liao Cui-Cui.On Santilli's methods in Birkhoffian inverse problem. Acta Physica Sinica, 2018, 67(5): 050202.doi:10.7498/aps.67.20172091
[2]	Li Yan-Min, Chen Xiang-Wei, Wu Hui-Bin, Mei Feng-Xiang.Two kinds of generalized gradient representations for generalized Birkhoff system. Acta Physica Sinica, 2016, 65(8): 080201.doi:10.7498/aps.65.080201
[3]	Li Ji-Na, Zhu Xiao-Ning, Cheng Li-Fang.Approximate symmetry reduction for initial-value problem of perturbed diffusion equations. Acta Physica Sinica, 2013, 62(2): 020201.doi:10.7498/aps.62.020201
[4]	Cui Jin-Chao, Zhao Zhe, Guo Yong-Xin.General Hojman's method for the construction of Birkhoffian representation. Acta Physica Sinica, 2013, 62(9): 090205.doi:10.7498/aps.62.090205
[5]	Ding Guang-Tao.Analytical mechanics representations of a moving charged particle in a magnetic field with radiation friction. Acta Physica Sinica, 2012, 61(2): 020204.doi:10.7498/aps.61.020204
[6]	Xie Jia-Fang, Pang Shuo, Zou Jie-Tao, Li Guo-Fu.The Borkhoffian expression of Boltzmann-Hamel equation of nonholonomic system and its generalized symplectic geometric algorithm. Acta Physica Sinica, 2012, 61(23): 230201.doi:10.7498/aps.61.230201
[7]	Li Yan-Min, Mei Feng-Xiang.Integral methods for the generalized Birkhoff equations. Acta Physica Sinica, 2010, 59(9): 5930-5933.doi:10.7498/aps.59.5930
[8]	Ding Guang-Tao.Hojman method for construction of Birkhoffian representation and the Birkhoff symmetry. Acta Physica Sinica, 2010, 59(6): 3643-3647.doi:10.7498/aps.59.3643
[9]	Ding Guang-Tao.New kind of inverse problems of Noether’s theory for Hamiltonian systems. Acta Physica Sinica, 2010, 59(3): 1423-1427.doi:10.7498/aps.59.1423
[10]	Ding Guang-Tao.A study on the Lagrangian image of the Birkhoffian representations. Acta Physica Sinica, 2010, 59(1): 15-19.doi:10.7498/aps.59.15
[11]	Zhang Yi.Routh method of reduction of Birkhoffian systems. Acta Physica Sinica, 2008, 57(9): 5374-5377.doi:10.7498/aps.57.5374
[12]	Mei Feng-Xiang, Xie Jia-Fang, Gang Tie-Qiang.An inverse problem of dynamics of a generalized Birkhoff system. Acta Physica Sinica, 2008, 57(8): 4649-4651.doi:10.7498/aps.57.4649
[13]	Ding Guang-Tao.Two new methods for construction of Birkhoffian representation. Acta Physica Sinica, 2008, 57(12): 7415-7418.doi:10.7498/aps.57.7415
[14]	Zhang Rui-Chao, Wang Lian-Hai, Yue Cheng-Qing.Partially Hamiltonization and integration of differential equations. Acta Physica Sinica, 2007, 56(6): 3050-3053.doi:10.7498/aps.56.3050
[15]	Qiao Yong-Fen, Zhao Shu-Hong, Li Ren-Jie.Symmetry theory of the Hamilton-Tabarrok-Leech’s canonical equations in generalized classical mechanics. Acta Physica Sinica, 2006, 55(11): 5598-5605.doi:10.7498/aps.55.5598
[16]	Ge Wei-Kuan.A field method for solving Whittaker equations. Acta Physica Sinica, 2006, 55(1): 10-12.doi:10.7498/aps.55.10
[17]	He Jin-Chun, Shi Li-Na, Chen Hua, Huang Nian-Ning.The Hamiltonian theory of Landau-Lifschitz equation and the gauge transformations. Acta Physica Sinica, 2005, 54(5): 2007-2012.doi:10.7498/aps.54.2007
[18]	Fu Jing-Li, Chen Li-Qun, Xie Feng-Ping.Perturbation to the symmetries of relativistic Birkhoffian systems and the inver se problems. Acta Physica Sinica, 2003, 52(11): 2664-2670.doi:10.7498/aps.52.2664
[19]	GENG HUA-YUN, WU QIANG, TAN HUA.STATISTICAL PARAMETER OF THERMODYNAMIC EQUATION OF STATE. Acta Physica Sinica, 2001, 50(7): 1334-1339.doi:10.7498/aps.50.1334
[20]	LI FU-BlN.THE MICROSCOPIC PHENOMENOLOGICAL THEORY OF ANALYSIS FOR THE PROBLEM OF NONEQUILIBRIUM FLUCTUATIONS (Ⅰ)——A NEW THEORY OF EXTENDED IRREVERSIBLE THERMODY-NAMICS AND NONEQUILIBRIUM CORRECTIONS OF THE FLUCTUATION-DISSIPATION EXPRESSIONS FOR THE HEAT FL. Acta Physica Sinica, 1989, 38(9): 1467-1474.doi:10.7498/aps.38.1467

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Vol. 59, Issue 12 - 2010-06-20

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