This article is devoted to an analysis of semiclassical Schrödinger operators for two-frequency resonance of the type 1:p where p is even. The Birkhoff–Gustavson normal form is applied to describe the discrete spectrum in the case where the potential is smooth and admits a nondegenerate global minimum at the origin 0.

中文翻译：

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半经典Schrödinger算子的双频共振谱

本文致力于分析半经典Schrödinger算符，用于类型为1：p（其中p为偶数）的双频谐振。Birkhoff-Gustavson范式用于描述势能平稳且在原点0处具有不退化的全局最小值的情况下的离散频谱。