کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5500219 | 1533970 | 2017 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Construction of Darboux coordinates and Poincaré-Birkhoff normal forms in noncanonical Hamiltonian systems
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Construction of Darboux coordinates and Poincaré-Birkhoff normal forms in noncanonical Hamiltonian systems Construction of Darboux coordinates and Poincaré-Birkhoff normal forms in noncanonical Hamiltonian systems](/preview/png/5500219.png)
چکیده انگلیسی
We demonstrate a general method to construct Darboux coordinates via normal form expansions in noncanonical Hamiltonian system obtained from e.g. a variational approach to quantum systems. The procedure serves as a tool to naturally extract canonical coordinates out of the variational parameters and at the same time to transform the energy functional into its Poincaré-Birkhoff normal form. The method is general in the sense that it is applicable for arbitrary degrees of freedom, in arbitrary orders of the local expansion, and it is independent of the precise form of the Hamilton operator. The method presented allows for the general and systematic investigation of quantum systems in the vicinity of fixed points, which e.g. correspond to ground, excited or transition states. Moreover, it directly allows to calculate classical and quantum reaction rates by applying transition state theory.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 348, 1 June 2017, Pages 12-32
Journal: Physica D: Nonlinear Phenomena - Volume 348, 1 June 2017, Pages 12-32
نویسندگان
Andrej Junginger, Jörg Main, Günter Wunner,