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

被引：0
|
作者：
Albert Much
Robert Oeckl
机构：
[1] Universität Leipzig,Institut für Theoretische Physik
[2] Universidad Nacional Autónoma de México,Centro de Ciencias Matemáticas
来源：
Mathematical Physics, Analysis and Geometry | 2021年 / 24卷
关键词：
Quantum field theory on curved spacetimes; Selfadjointness; 81Sxx; 83Cxx; 81Txx; 58Jxx;
D O I：
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学科分类号：
摘要：
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.
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