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Scattering theory for the Dirac equation in Schwarzschild-anti-de Sitter space-time. (English) Zbl 07430944

Summary: We show asymptotic completeness for linear massive Dirac fields on the Schwarzschild-Anti-de Sitter space-time. The proof is based on a Mourre estimate. We also construct an asymptotic velocity for this field.

MSC:

81-XX Quantum theory
83-XX Relativity and gravitational theory