论文标题
有效的哈密顿量在两个维度上的高度退化
High Degeneracy of Effective Hamiltonian in Two Dimensions
论文作者
论文摘要
考虑有效的Hamiltonian $ \ OVILLINE H（P）$与机械Hamiltonian $ H（P，X）= {1 \ of 2} | P |^2+V（x）$相关。我们证明，对于通用$ v $，$ \ overline H $是使用Aubry-Mather理论在二维的密集开放式中分段的1D。
Consider the effective Hamiltonian $\overline H(p)$ associated with the mechanical Hamiltonian $H(p,x)={1\over 2}|p|^2+V(x)$. We prove that for generic $V$, $\overline H$ is piecewise 1d in a dense open set in two dimensions using Aubry-Mather theory.
