Scattering and complete integrability in conformally invariant nonlinear theories

DOI10.1063/1.528803zbMath0715.58035OpenAlexW2083905349MaRDI QIDQ3202880

John C. Baez

Publication date: 1990

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

Full work available at URL: https://semanticscholar.org/paper/7f1a90374e6784a34076f4946e6920eb00e26136

zbMATH Keywords

fixed pointsperiodic pointsscattering operatorconformal groupPoincaré groupKähler metricalmost periodic sequenceconformally invariant non-linear wave equationsfinite Einstein energy

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) Wave equation (35L05) Hyperbolic equations on manifolds (58J45)

Related Items (4)

Analyticity of the scattering operator for semilinear dispersive equations ⋮ Analyticity of the scattering operator for the nonlinear Klein-Gordon equation with cubic nonlinearity ⋮ Conserved quantities for the Yang-Mills equations ⋮ Scattering and complete integrability in the massive \(\phi ^ 4\) theory

Cites Work

• Analysis in space-time bundles. I: General considerations and the scalar bundle
• The wave operator on \(S^ n:\) Estimates and applications
• Scattering and the geometry of the solution manifold of \(\square f+\lambda f^ 3=0\)
• Analyticity of scattering for the \(\phi ^ 4\) theory
• Quantization of Nonlinear Systems
• Chaotic behaviour of a Hamiltonian with a quartic potential
• Causally oriented manifolds and groups

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