کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1855198 1645435 2010 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Integrable Hénon-Heiles Hamiltonians: A Poisson algebra approach
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
Integrable Hénon-Heiles Hamiltonians: A Poisson algebra approach
چکیده انگلیسی
The three integrable two-dimensional Hénon-Heiles systems and their integrable perturbations are revisited. A family of new integrable perturbations is found, and N-dimensional completely integrable generalizations of all these systems are constructed by making use of sl(2,R)⊕h3 as their underlying Poisson symmetry algebra. In general, the procedure here introduced can be applied in order to obtain N-dimensional integrable generalizations of any 2D integrable potential of the form Vq12,q2, and the formalism gives the explicit form of all the integrals of the motion. Further applications of this algebraic approach in different contexts are suggested.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 325, Issue 12, December 2010, Pages 2787-2799
نویسندگان
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