Spectral Problems for Quasinormal Modes of Black Holes
Yasuyuki Hatsuda
Abstract
This is an unconventional review article on spectral problems in black hole perturbation theory. Our purpose is to explain how to apply various known techniques in quantum mechanics to such spectral problems. The article includes analytical/numerical treatments, semiclassical perturbation theory, the (uniform) WKB method and useful mathematical tools: Borel summations, Padé approximants, and so forth. The article is not comprehensive, but rather looks into a few examples from various points of view. The techniques in this article are widely applicable to many other examples.
Topics & Concepts
WKB approximationPhysicsSemiclassical physicsPerturbation theory (quantum mechanics)Perturbation (astronomy)Theoretical physicsSpectral analysisStatistical physicsClassical mechanicsQuantumMathematical physicsQuantum mechanicsSpectroscopyBlack Holes and Theoretical PhysicsQuantum Mechanics and Non-Hermitian PhysicsPulsars and Gravitational Waves Research