Spectral and scattering theory for the Klein-Gordon equation

DOI10.1007/BF01646267zbMath1125.35391MaRDI QIDQ2465599

Lars-Erik Lundberg

Publication date: 6 January 2008

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) PDEs in connection with quantum mechanics (35Q40)

Related Items

Spectral theory of the Klein-Gordon equation in Pontryagin spaces, Weighted energy decay for 3D Klein-Gordon equation, Wave operators for pairs of spaces and the Klein-Gordon equation, Scattering theory for Klein-Gordon equations with non-positive energy, Eigenvalue accumulation for singular Sturm-Liouville problems nonlinear in the spectral parameter, Weighted Energy Decay for 1D Klein–Gordon Equation, Relativistic quantum theory for charged spinless particles in external vector fields, Perturbation of eigenvalues of the Klein-Gordon operators, Scattering theory for the Klein-Gordon equation, Superradiance and scattering of the charged Klein-Gordon field by a step-like electrostatic potential, Long time decay for 2D Klein-Gordon equation, On the existence of wave operators for the Klein-Gordon equation, The Klein-Gordon equation and scattering theory, On the numerical solution of the Klein-Gordon equation by exponential cubic B-spline collocation method, Resolvent and propagation estimates for Klein-Gordon equations with non-positive energy, Quantum fields with classical perturbations

Cites Work

• On the phase-shift formula for the scattering operator
• Spectral theory for the wave equation with a potential term
• Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory
• Scattering theory with two Hilbert spaces
• Relativistic Potential Scattering
• Scattering for Hyperbolic Equations
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