Essential self-adjointness of Klein-Gordon type operators on asymptotically static, Cauchy-compact spacetimes

DOI10.1007/s00220-022-04543-2OpenAlexW4309081073MaRDI QIDQ2692765

Yanyan Li

Publication date: 23 March 2023

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

Full work available at URL: https://arxiv.org/abs/2203.00178

zbMATH Keywords

Feynman propagatorsasymptotically ultra-static models

Mathematics Subject Classification ID

Feynman diagrams (81T18) Second-order hyperbolic equations (35L10) Hyperbolic equations on manifolds (58J45)

Cites Work

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• Microlocal properties of scattering matrices for Schrödinger equations on scattering manifolds
• An evolution equation approach to the Klein-Gordon operator on curved spacetime
• Essential self-adjointness of real principal type operators
• Pseudodifferential Weyl calculus on (Pseudo-)Riemannian manifolds
• Essential self-adjointness of the wave operator and the limiting absorption principle on Lorentzian scattering spaces
• Hadamard property of the \textit{in} and \textit{out} states for Klein-Gordon fields on asymptotically static spacetimes
• Feynman propagators on static spacetimes
• The massive Feynman propagator on asymptotically Minkowski spacetimes
• The Massive Feynman Propagator on Asymptotically Minkowski Spacetimes II

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