S ep 2 00 3 Liouville Operator Approach to Symplecticity - Preserving Renormalization Group Method
نویسنده
چکیده
We present a method to construct symplecticity-preserving renormalization group maps by using the Liouville operator, and obtain correctly reduced symplectic maps describing their long-time behavior even when a resonant island chain appears. PACS-1995: 03.20.+i , 47.20.Ky, 02.30.Mv, 64.60.Ak.
منابع مشابه
Liouville Operator Approach to Symplecticity-Preserving RG Method
We present a method to construct symplecticity-preserving renormalization group maps by using the Liouville operator, and obtain correctly reduced symplectic maps describing their long-time behavior even when a resonant island chain appears. There has been a long history to study an asymptotic solution of Hamiltonian flows by means of singular perturbation methods such as the averaging method a...
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تاریخ انتشار 2003