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Start Over Author "Kouichi Taira" Journal communications in mathematical physics
2 results on '"Kouichi Taira"'

2. Limiting Absorption Principle and Equivalence of Feynman Propagators on Asymptotically Minkowski Spacetimes

Author

Kouichi Taira

Subjects
Physics, Operator (physics), Complex system, FOS: Physical sciences, Propagator, Statistical and Nonlinear Physics, Mathematical Physics (math-ph), Mathematics - Spectral Theory, symbols.namesake, Mathematics - Analysis of PDEs, Minkowski space, FOS: Mathematics, symbols, Feynman diagram, 58J50, 35P25, 47B25, Absorption (logic), Spectral Theory (math.SP), Equivalence (measure theory), Mathematical Physics, Analysis of PDEs (math.AP), Resolvent, Mathematical physics
Abstract

In this paper, we shall show that the limiting absorption principle for the wave operator on the asymptotically Minkowski spacetime. This problem was previously considered by [A. Vasy, J. Spect. Theory, 10,439-461 , (2020)]. Here, we employ a more transparent tool, the Mourre theory and removes an additional condition which is imposed in his paper. Moreover, we also prove that the anti-Feynman propagator defined by G\'erard and Wrochna coincides with the outgoing resolvent., Comment: Proof of Lemma 3.5 is corrected

Published
2021
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