Non-Self-Adjointness of the Klein–Gordon Operator on a Globally Hyperbolic and Geodesically Complete Manifold: An Example

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چکیده

We describe a Lorentzian manifold, that is globally hyperbolic and geodesically complete, but such the (minimally coupled) Klein–Gordon operator with standard domain not essentially self-adjoint.

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ژورنال

عنوان ژورنال: Annales Henri Poincaré

سال: 2022

ISSN: ['1424-0661', '1424-0637']

DOI: https://doi.org/10.1007/s00023-022-01201-0