Klein paradox for the charged Klein-Gordon equation: superradiance and scattering.

DOI10.1016/j.crma.2004.06.016zbMath1081.35093OpenAlexW2089285933MaRDI QIDQ1886968

Alain Bachelot

Publication date: 23 November 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.06.016

Mathematics Subject Classification ID

Black holes (83C57) Scattering theory for PDEs (35P25) PDEs in connection with quantum mechanics (35Q40) Hyperbolic equations on manifolds (58J45) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (1)

Spectral properties for the Klein-Gordon Hamiltonian in charged black hole backgrounds

Cites Work

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• Scattering theory for systems with different spatial asymptotics on the left and right
• An eigenfunction expansion for a quadratic pencil of a Schrödinger operator with spectral singularities
• A nonlinear Klein--Gordon equation on Kerr metrics
• Superradiance and scattering of the charged Klein-Gordon field by a step-like electrostatic potential
• Sur la théorie de la diffusion pour l'équation de Klein–Gordon dans la métrique de Kerr
• Scattering theory for the Klein-Gordon equation

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