Self-Adjointness in Klein-Gordon Theory on Globally Hyperbolic Spacetimes

Self-Adjointness in Klein-Gordon Theory on Globally Hyperbolic Spacetimes

We prove essential self-adjointness of the spatial part of the linear Klein-Gordon operator with external potential for a large class of globally hyperbolic manifolds. The proof is conducted by a fusion of new results concerning globally hyperbolic manifolds, the theory of weighted Hilbert spaces an...

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Veröffentlicht in:Mathematical physics, analysis, and geometry analysis, and geometry, 2021-03, Vol.24 (1), Article 5
Hauptverfasser: Much, Albert, Oeckl, Robert
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Geometry
Group Theory and Generalizations
Hilbert space
Manifolds
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
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Zusammenfassung:We prove essential self-adjointness of the spatial part of the linear Klein-Gordon operator with external potential for a large class of globally hyperbolic manifolds. The proof is conducted by a fusion of new results concerning globally hyperbolic manifolds, the theory of weighted Hilbert spaces and related functional analytic advances.
ISSN:1385-0172
1572-9656
DOI:10.1007/s11040-021-09379-1