论文标题
通过传播Hagedorn Wave包的构建非频道操作员的准烟囱
Construction of quasimodes for non-selfadjoint operators via propagation of Hagedorn wave-packets
论文作者
论文摘要
我们使用HageDorn波包的传播构建了一些非频谱半经典操作员在伪谱的边界处构建准膜片。假设操作员的主要符号的假想部分是非负的，并且在满足亚细胞有限型条件的相空间的某些点上消失，我们构造了集中在这些非阻尼点上的准膜。更一般地，我们将此技术应用于谐波振荡器的非相关半经典扰动构建准示象，该谐波振荡器集中于未阻尼的周期性轨道或不变的Tori满足弱几何控制条件
We construct quasimodes for some non-selfadjoint semiclassical operators at the boundary of the pseudo-spectrum using propagation of Hagedorn wave-packets. Assuming that the imaginary part of the principal symbol of the operator is non-negative and vanishes on certain points of the phase-space satisfying a subelliptic finite-type condition, we construct quasimodes that concentrate on these non-damped points. More generally, we apply this technique to construct quasimodes for non-selfadjoint semiclassical perturbations of the harmonic oscillator that concentrate on non-damped periodic orbits or invariant tori satisfying a weak-geometric-control condition
