Open AccessHamiltonization of Whittaker equations
Author(s) -
Ding Guang-Tao
Publication year - 2010
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.59.8326
Subject(s) - hamiltonian (control theory) , poisson distribution , representation (politics) , mathematics , mathematical physics , hamiltonian mechanics , poisson bracket , hamiltonian system , mathematical analysis , algebra over a field , physics , pure mathematics , quantum mechanics , mathematical optimization , statistics , phase space , lie algebra , politics , political science , law
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.