Resonances as viscosity limits for black box perturbations

Abstract

We show that the complex absorbing potential (CAP) method for computing scattering resonances applies to an abstractly defined class of black box perturbations of the Laplacian in ${\mathbb{R}}^n$ which can be analytically extended from ${\mathbb{R}}^n$ to a conic neighborhood in ${\mathbb{C}}^n$ near infinity. The black box setting allows a unifying treatment of diverse problems ranging from obstacle scattering to scattering on finite volume surfaces.

References in corpus (5)

• Instantons beyond topological theory II
• Stochastic stability of Pollicott-Ruelle resonances
• Viscosity limits for 0th order pseudodifferential operators
• Resonances as Viscosity Limits for Exponentially Decaying Potentials
• Resonances and viscosity limit for the Wigner-von Neumann type Hamiltonian

Cited by in corpus (1)

• Complex absorbing potential method for Stark resonances