环面
数学
物理
能量(信号处理)
半无限
数学分析
应用数学
数学物理
量子力学
几何学
摘要
We prove a C∞ version of Nekhoroshev theorem for time dependent Hamiltonians in Rd×Td. Precisely, we prove a result showing that for all times the energy of the system is bounded by a constant times ⟨t⟩ɛ. We apply the result to the dynamics of a charged particle in Td subject to a time dependent electromagnetic field.
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