QFT FOR SCALAR PARTICLES IN EXTERNAL FIELDS ON RIEMANNIAN MANIFOLDS

DOI10.1142/S0129055X01000831zbMath1032.58024WikidataQ115246564 ScholiaQ115246564MaRDI QIDQ4418298

Hiroshi Isozaki

Publication date: 7 August 2003

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

zbMATH Keywords

quantum field theoryEuclidean spaceKlein-Gordon equationhyperbolic spaceLorentzian structure

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) Quantum field theory on curved space or space-time backgrounds (81T20) (S)-matrix theory, etc. in quantum theory (81U20) Applications of PDEs on manifolds (58J90)

Related Items (2)

Hadamard property of the \textit{in} and \textit{out} states for Dirac fields on asymptotically static spacetimes ⋮ Hadamard property of the \textit{in} and \textit{out} states for Klein-Gordon fields on asymptotically static spacetimes

Cites Work

• Particle creation by black holes
• Asymptotic expansions in time for solutions of Schrödinger-type equations
• Symplectic groups and the Klein-Gordon field
• Scattering automorphisms of the Dirac field
• MULTI-DIMENSIONAL INVERSE SCATTERING THEORY FOR SCHRÖDINGER OPERATORS

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