Superradiance and scattering of the charged Klein-Gordon field by a step-like electrostatic potential

DOI10.1016/j.matpur.2004.03.007zbMath1063.81095OpenAlexW2055139753MaRDI QIDQ1763419

Alain Bachelot

Publication date: 22 February 2005

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2004.03.007

zbMATH Keywords

Klein-Gordon equationKlein paradoxScattering operatorSuperradiance

Mathematics Subject Classification ID

Black holes (83C57) Scattering theory for PDEs (35P25) Quantum field theory on curved space or space-time backgrounds (81T20) PDEs in connection with quantum mechanics (35Q40) Quantum scattering theory (81U99)

Related Items (14)

Klein paradox for the charged Klein-Gordon equation: superradiance and scattering. ⋮ Boundary Values of Resolvents of Self-adjoint Operators in Krein Spaces and Applications to the Klein–Gordon Equation ⋮ Spectral theory of the Klein-Gordon equation in Pontryagin spaces ⋮ Spectral properties for the Klein-Gordon Hamiltonian in charged black hole backgrounds ⋮ Decay of the local energy for the charged Klein-Gordon equation in the exterior de Sitter-Reissner-Nordström spacetime ⋮ Scattering theory for Klein-Gordon equations with non-positive energy ⋮ Inverse scattering at fixed energy in de Sitter-Reissner-Nordström black holes ⋮ Scattering theory for the charged Klein-Gordon equation in the exterior De Sitter-Reissner-Nordström spacetime ⋮ Direct and inverse scattering at fixed energy for massless charged Dirac fields by Kerr-Newman-de Sitter black holes ⋮ Quantum field theory in static external potentials and Hadamard states ⋮ Asymptotic completeness for superradiant Klein-Gordon equations and applications to the de Sitter-Kerr metric ⋮ A new type of charged black hole bomb ⋮ Unnamed Item ⋮ Resolvent and propagation estimates for Klein-Gordon equations with non-positive energy

Cites Work

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