(Quasi)-exactly solvable quasinormal modes

Abstract

We consider quasinormal modes with complex energies from the point of view of the theory of quasi-exactly solvable (QES) models. We demonstrate that it is possible to find new potentials which admit exactly solvable or QES quasinormal modes by suitable complexification of parameters defining the QES potentials. Particularly, we obtain one QES and four exactly solvable potentials out of the five one-dimensional QES systems based on the $sl(2)$ algebra.

5 pages, 1 figure. Replaced with version to appear in J. Phys. A

References in corpus (10)

• Supersymmetry and Quantum Mechanics
• Quasi-Normal Modes of Stars and Black Holes
• Quasi-exactly solvable quartic potential
• Planar Dirac Electron in Coulomb and Magnetic Fields
• Quasi-exact solvability of Dirac-Pauli equation and generalized Dirac oscillators
• Quasi-exact solvability of Dirac equation with Lorentz scalar potential
• Asymptotic Quasinormal Frequencies of Different Spin Fields in Spherically Symmetric Black Holes
• Quasi-exact Solvability of the Pauli Equation
• Dirac oscillators and quasi-exactly solvable operators
• Invariant Modules and the Reduction of Nonlinear Partial Differential Equations to Dynamical Systems

Cited by in corpus (10)

• Black hole quasinormal modes using the asymptotic iteration method
• Using physics-informed neural networks to compute quasinormal modes
• Quasinormal modes of generalized Pöschl-Teller potentials
• Self-Adjoint Extensions of the Hamiltonian Operator with Symmetric Potentials which are Unbounded from Below
• Parametric Resonance Enhancement in Neutron Interferometry and Search for Non-Newtonian Gravity
• Deformations in spinor bundles: Lorentz violation and further physical implications
• Analytical treatment of SUSY Quasi-normal modes in a non-rotating Schwarzschild black hole
• An approach to the quantization of black-hole quasi-normal modes
• Foundational aspects of spinor structures and exotic spinors
• Higher order intertwining approach to quasinormal modes