标题： 复动量模的伪谱 显示英文标题

标题： Pseudospectra of complex momentum modes

摘要： 我们开始研究渐近反德西特黑洞的复动量模态的稳定性和伪谱。 类似于准正则模态，这些模态可以定义为全息格林函数的极点，尽管是实频率和复动量。 它们的伪谱与反德西特黑洞准正则模态的伪谱形成鲜明对比。 与准正则模态伪谱的情况相反，预解算子是定义良好的，数值逼近显示快速收敛。 在零频率下，复动量模态是厄米算子的稳定正常模态。 即使在大频率下，它们也仅表现出相对温和的谱不稳定。 我们还发现，局部势能扰动无法使最低的复动量模态不稳定。 显示英文摘要

摘要： We initiate the study of stability and pseudospectra of complex momentum modes of asymptotically anti-de Sitter black holes. Similar to quasinormal modes, these can be defined as the poles of the holographic Green's function, albeit for real frequency and complex momentum. Their pseudospectra are in stark contrast to the pseudospectra of quasinormal modes of AdS black holes. Contrary to the case of quasinormal mode pseudospectra, the resolvent is well-defined, and the numerical approximation shows fast convergence. At zero frequency, complex momentum modes are stable normal modes of a Hermitian operator. Even for large frequencies, they show only comparatively mild spectral instability. We also find that local potential perturbations cannot destabilize the lowest complex momentum mode.